Which equation has a graph that is a parabola with a vertex at (1,HI)?
Oy=(-12+1
O y--1-
O y=(«+ 1) +1
O y=x+1)-1

Which Equation Has A Graph That Is A Parabola With A Vertex At (1,HI)?Oy=(-12+1O Y--1-O Y=(+ 1) +1O Y=x+1)-1

Answers

Answer 1

Answer:

[tex]y = (x +1)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (-1,-1)[/tex]

Required

Determine the equation

The equation of a graph from a vertex is:

[tex]y = a(x - h)^2 + k[/tex]

Where

[tex]a = 1[/tex]

[tex](h,k) = (-1,-1)[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 1(x - (-1))^2 + (-1)[/tex]

Express -(-1) as 1

[tex]y = 1(x +1)^2 + (-1)[/tex]

Express +(-1) as -1

[tex]y = 1(x +1)^2 - 1[/tex]

[tex]y = (x +1)^2 - 1[/tex]

Hence, the equation is:

[tex]y = (x +1)^2 - 1[/tex]


Related Questions

(X+5)/2 = (2x-1)/3 what’s x?

Answers

Answer:

x=  3x=17/4

Step-by-step explanation:

Solve :x^7/x^5+2x^4+x^3 × (x+1)^3/x^4 ​

Answers

(2x^5+2x^3+3x^2+3x+1)/x

Find that x and y intercept 4x-5y=40

Answers

Answer:

x intercept: 10, y intercept: -8

Step-by-step explanation:

make into y = mx + b

4x = 5y + 40

4x - 40 = 5y

y = 4/5x - 8

plug in 0 for x, to find y intercept

y = -8

plug in 0 for y, to find x intercept

0 = 4/5x - 8, x = 10

Could you guys help me solve 9 I would appreciate it :)

Answers

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

Draw the given​ figure's reflection image across line l. (look at the screenshot)

A.
B.
C.
D.

Answers

Answer:

B

Step-by-step explanation:

B is the right answer

The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 + 4.7

Average maximum daily temperature = 21.85°C

Average minimum temperature = - 4.7°C

The average daily maximum temperature is x°C higher than the average daily minimum temperature ;

x = (maximum temperature - minimum temperature)

x = (21.85 - (-4.7))°C

x = (21.85 + 4.7)°C

x = 26.55°C

Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature

a fraction is shown 5/9 which number equivalent to the fraction

Answers

Answer:

10/18 or 25/45

Step-by-step explanation

helppp will give brainliest

Answers

Answer:

1/3 is the slope of the line

the yellow one is correct

Consider the enlarged triangle.

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

Which steps should be used to find the perimeter? Check all that apply.

Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.

Answers

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

What is Scale Factor?

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

Learn  more about Scale Factor here :

https://brainly.com/question/29929067

#SPJ3

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

What does the word Expressions mean in mathematics in your own words?

Answers

Answer:

Expression in mathematics means word problem.

please help meeeeeeeeeee

Answers

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Rochelle wants to use all of her raisins to bake batches of granola. She has 3/4 cup of raisins.
Each batch requires 1/8 cup of raisins. How many batches can she make?

Answers

Answer:

She has 3/4 and each batch requires 1/8. 3/4 can be turned into 6/8 she can make 6 batches.

Sharad went to his friend's place on a motorcycle. When he started, the reading was 19,235 km. When he reached his friend's place it was 19,301 km. How many km did sharad travel ?

Answers

Answer:

the number of km did sharad travel is 66 km

Step-by-step explanation:

The computation of the number of km did sharad travel is as follows:

= The km at his friend place - km when he started

= 19,301 km - 19,235 km

= 66 km

Hence, the number of km did sharad travel is 66 km

So, the same is to be considered by applying the given formula so that the correct distance could come

5y - 10= -25
a y=3
b y=7
y=-3
y=-7

Answers

5y = -15
Y = -3
It would be c.

Answer:

C. y=-3

Step-by-step explanation:

5y-10=-25

5y=-25+10

5y=-15

y=-15/5

y=-3

Help............................

Answers

Answer:

I think it is B, or the second one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination

Answers

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

please help me answer this i will give brainliest and 5 star rating!!

Answers

Answer:

x = 77 ft

Step-by-step explanation:

55 ÷ 45 = 1.222222222

1.222222222 x 63 = 77

Answer:

63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)

Step-by-step explanation:

then after you do all this round it to the nearest foot

Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?

Answers

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT

Answers

Answer:

7

40

the answer is 7 fortyths

working out

3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths

5 sixths +1 third + 1 half = 10 sixths

7 twentyforths divided by 10 sixths= 7 fortyths

Which measurement is the best estimate for the length of a clothespin?

9 cm
9 km
9 mm
9 m

Answers

in my opinion i think it’d be 9 cm

To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition

Answers

Answer:

b

Step-by-step explanation:

Answer:

Henry's cousin went to an audition.

Step-by-step explanation:

PLEASE HELP, WILL GIVE BRAINLIEST!!

Answers

Answer:
55

Explanation:
21 + 34 = 55

Find the -intercept and -intercept of the line.

3x-7y=-21

x-intercept
y-intercept

Answers

x intercept (- 7,0)

y intercept (0,3)

click on the volume of this rectangular prism.

Answers

Answer: 192 cubic inches

Step-by-step explanation:

Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12

Answers

Answer:

y=4x+11

Step-by-step explanation:

Answer:

y=4x+11

Step-by-step explanation:

y - 3 = 4(x + 2)

=

y - 3 =4x + 8

=

y - 3 (+3) = 4x + 8 (+3)

=

y=4x+11

If you buy every item in the song, The Twelve Days of Christmas, how many items will you buy?

Answers

Answer:

Total item = 364

Step-by-step explanation:

1 partridge for 12 days = 12 x 1 = 12

2 turtle doves for 11 days = 11 x 2 = 22

3 french hens for 10 days 10 x 3 = 30

4 calling birds for 9 days = 9 x 4 = 36

5 gold rings for 8 days = 8 x 5 = 40

6 geese a-laying for 7 days = 7 x 6 = 42

7 swans a-swimming for 6 days = 6 x 7 = 42

8 maids a-milking for 5 days = 5 x 8 = 40

9 ladies dancing for 4 days = 4 x 9 = 36

10 lords a-leaping for 3 days = 3 x 10 = 30

11 pipers piping for 2 days = 2 x 11 = 22

12 drummers drumming for 1 day = 1 x 12 = 12

Total item = 364

бx +7= 8х - 15
Pls help will mark brainliest

Answers

Answer:

X=11

Step-by-step explanation:

-6x both sides of = sign

+ 15 both sides of = sign

x=11

Pls help I’m timed on my test
what is the y- intercept of the linear function?
Y = -1/3 x + 1

Answers

Answer:

+1

Step-by-step explanation:

the last number is the y intercept

Answer:

The y-intercept is (0,1).

Step-by-step explanation:

y=mx+b

b is the y-intercept

The sum of two number is 21 the second number is six times the first one workout the two numbers

Answers

Answer:  3 and 18

Step-by-step explanation:

x + 6x = 21

7x = 21  Divide both sides by 7

x = 3   That's the first number. Multiply by 6 for the second number:

6 × 3 = 18

Other Questions
What did the Spanish accomplish 2x+5=13Help me out please Sea level changes occur at a rate of 10 m per 1,000 years.How much will the sea level change over 100,000 years?10 m1,000 m10,000 m100,000 m Calistoga Produce estimates bad debt expense at 0.20% of credit sales. The company reported accounts receivable and allowance for uncollectible accounts of $471,000 and $1,620, respectively, at December 31, 2020. During 2021, Calistoga's credit sales and collections were $327,000 and $308,000, respectively, and $1,740 in accounts receivable were written off. Calistoga's accounts receivable at December 31, 2021, are: Test Yourself1- Which is larger:a) Million or billion?b) A part of million or a part of billion?2- Which is more harmful: concentration of a poisonous substance (lead) indrinking water to be a part of a billion or a part of a million? 2) Two railway tracks are parallel to west east direction. Along one track, train A moves with a speed of 45 m/s fromwest to east, while along the second track, train B moves with a speed of 60 m/s from east to west calculate speed ofBw.rt. A No state could make any thing except ______and ______ money for the payment of debts In geometry, components used in deductive reasoning include all the following except:A.) PostulatesB.) Theorems C.) Observations D.) Definitions Pelican hunts fish in the water as th pelican the waters surface why must it aim for the fish in a slightly different place than where the fish appears to be located answer correctly and i will give brainliest !!PLEASE HELPP!! While reading difficult content, it is best to focus on a small section of material.Please select the best answer from the choices providedOTOF The air around a pool and the water in the pool receive equal amounts of energy from the sun. Why does the air experience a greater increase in temperature than does the water? A. The specific heat of water is less than that of air. B. The specific heat of water is greater than that of air. C. The latent heat of water is less than that of air. D. The latent heat of water is greater than that of air. All of the following statements about the North Central Plains are true except:a.Houston is located within the North Central Plains.b.The North Central Plains are located in the north part of Texas.c.The North Central Plains are home to cattle ranches and farms.d.Wheat, corn, cotton, and peanuts are grown in the North Central Plains. __________ started as a direct form of direct democracy in northeastern towns where every eligible resident had a say, or vote, in town matters and decisions. A. Free press B. Town meetings C. State senate elections D. Representative elections Please select the best answer from the choices provided A B C D I WILL GIVE BRAINLIEST! (Function Composition Application) - During a certain period, the angular position of a rotating object is given by: = + , where is in radian and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the rotating object at = Sec. Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help Friendships soccer team purchased uniforms and equipment for a total of $912. The equipment cost $612 and the uniforms cost $25 each. How many uniforms did the school purchase? 1/4 x __ = 1/2 = ? I need this answered ASAP, it's 80% of my grade PLEASE helppppppp sudden shaking of the crust