Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
(1,5).

Answers

Answer 1

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1


Related Questions

What is 2 7/10+4 1/10 in simplest form

Answers

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

The students in Herman's grade voted to select a guest speaker. 435 students voted for a famous athlete. The other 65 students in Herman's grade voted for a famous actor. What percentage of the students voted for the athlete?

Answers

Answer:

87%

Step-by-step explanation:

435 students who voted for athlete               87

___________________________       =     ____         or 87%

          500 total students                                100

A window needs a piece of glass of 3m by 2m to fit into its frame. What is the total area of glass needed for 25 windows?

Answers

150 m should be the correct answer

(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution :

[tex]\qquad \sf  \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]

please answer i will give you

Answers

Answer: C) [tex]f^{-1}(x)=3-7x[/tex]

Step-by-step explanation:

When solving for an inverse of a function replace f(x) with x and replace the original x with y.

[tex]f(x) = \frac{3-x}{7} \\x=\frac{3-y}{7}[/tex]

Now solve for y

[tex]x=\frac{3-y}{7} \\(7)x=(\frac{3-y}{7}) (7)\\7x=3-y\\7x+y=3-y+y\\7x+y=3\\7x-7x+y=3-7x\\y=3-7x[/tex]

Replace y with the [tex]f^{-1}(x)[/tex]

Help please… thank you!

Answers

Answer:

B

Step-by-step explanation:

5 × pi ÷12 = 75 degrees

this is essentially cos75

= cos(30 + 45)

then we use the identities to solve.

the answer will = to 0.2588

q . (a + y) = 67y + 93

Answers

if we are solving for why you would get an answer of
y= -93-a/66

Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *​

Answers

The points P, Q and R are collinear points on the number line

The distance PQ is 0.6The distance QR is 0.3

How to determine the distance between P and Q?

From the number line we have:

P = -0.6

Q = 0

The distance is calculated as:

PQ = Q - P

This gives

PQ = 0 - -0.6

Evaluate the difference

PQ = 0.6

Hence, the distance PQ is 0.6

How to determine the distance between R and Q?

From the number line we have:

R = 0.3

Q = 0

The distance is calculated as:

QR = R - Q

This gives

QR = 0.3 - 0

Evaluate the difference

QR = 0.3

Hence, the distance QR is 0.3

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

The distance PQ is 0.6

The distance QR is 0.3

helpppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Split it into two shapes

2x6x4= 48

3x2x5= 30

30+48= 78

By dividing it into two shapes you were able to find the individual area and when u added them together you got the total area


Please give brainliest

Please help me with this question

3 t-shirts and 2 hats cost £14

2 t-shirts and 7 hats cost £15

Find the cost of one t-shirt

Find the cost of one hat

Answers

Answer:

The cost of one T-shirt is £4

The cost of a hat is £1

Step-by-step explanation:

Please help, will give 15 points!!!
A standard number cube is tossed. Find each probability.

P(even or less than 4)

Answers

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

brainliest?

wats 4000 squared and 40*7

Answers

Answer:

4000 squared is 16 000 000
40*7 = 280

Explanation:

4000^2 is 4000*4000
And 4*70 = 280

Please mark brainliest

Answer:

16000280

Step-by-step explanation:

hope this helps.

Can someone help me?

Answers

Answer:

70x+91

Step-by-step explanation:

Answer:

161

Step-by-step explanation:

Break it into separate parts based on order of operations:

[(3 x (2^5)) + (13 x (-2))] + 7[8 - (4 - 9)] then simplify:

3 x 32 + (-26) + 7[8 + 5]

96 - 26 + 7(13)

70 + 91

161

Need help with math please

Answers

Answer:

45°

Step-by-step explanation:

if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°

Evaluate the limit. (-2)^nn/4+n

Answers

Answer:

n

(

2

)

n

4

+

n

Step-by-step explanation:

Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a Frisbee. Approximately how many feet from the base of the tree is the Frisbee? Draw a picture to help you!

Answers

Answer:

About 29 feet.

Step-by-step explanation:

tan 60 = 50 / h

h = 50/ tan 60

= 28.87 ft

PLEASE HELP ASAP Write an equation that models the data in the table (Screenshot below)

Answers

Answer:

y = 7x

Step-by-step explanation:

Every y is greater 7 times than x. It means that everytime you multiply X by 7, it will be equal to y

what is 1/4x-6=-10 please i need something by tomorrow.

Answers

Answer:

If you need what x equals its -16

x = -16

Explanation:

[tex]\rightarrow \sf \dfrac{1}{4} x - 6=-10[/tex]

collect variables

[tex]\rightarrow \sf \dfrac{1}{4} x =-10+6[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{4} x =-4[/tex]

cross multiply

[tex]\rightarrow \sf x=-4*4[/tex]

final answer

[tex]\rightarrow \sf x=-16[/tex]

What is the gradient of the blue line

Answers

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

anyone? please answer it

Answers

Answer:

2(3-√13) is the answer

Step-by-step explanation:

Given that,

x = \frac{3 - \sqrt{13} }{2}

or, \frac{1}{x} = \frac{2}{3 - \sqrt{13} } (Taking reciprocal on both sides)

We know that,

(a + b)² = a² + b² + 2ab

or, (x \ + \frac{1} {x})^{2} = {x}^{2} + \frac{1}{x {}^{2} } + 2

or, {x}^{2} + \frac{1}{x {}^{2} } = (x \ + \frac{1}{x })^{2} - 2

Now,

or, {x}+ \frac{1}{x } = \frac{3 - \sqrt{13} }{2} + \frac{2}{3 - \sqrt{13} }

or, (3 - \sqrt{13 {})^{2} } + 4

2(3-√13) is the answer

If you didn't understand the frac etc... then I'll attach the f ans file.


Space Shuttle Marion is observing the launch of a space
shuttle from the command center. When she first sees the
shuttle, the angle of elevation to it is 16°. Later, the angle
of elevation is 74°. If the command center is 1 mi from the
launch pad, how far did the shuttle travel while Marion was
watching? Round to the nearest tenth of a mile,

Answers

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

[tex]\tan{16^\circ} = \frac{1}{x_1}[/tex]

[tex]x_1 = \frac{1}{\tan{16^\circ}}[/tex]

[tex]x_1 = 3.5[/tex]

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

[tex]\tan{74^\circ} = \frac{1}{x_2}[/tex]

[tex]x_2 = \frac{1}{\tan{74^\circ}}[/tex]

[tex]x_2 = 0.3[/tex]

The distance is:

[tex]d = x_1 - x_2 = 3.5 - 0.3 = 3.2[/tex]

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at https://brainly.com/question/18090623

4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?

Answers

Answer:

62.5 J

Step-by-step explanation:

Formula

Work = Force x Distance (Displacement)

Given :

Force = 25 NDistance = 2.5 m

Solving

Work = 25 x 2.5Work = 62.5 J

The work done with the given force and distance is 62.5 Newton meter.

What is time and work?

The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.

Given that, force = 25 N weight and distance = 2.5 meters

We know that, work = Force×Distance

Here, work = 25×2.5

= 62.5 Newton meter

Therefore, the work done is 62.5 Newton meter.

To learn more about the time and work visit:

https://brainly.com/question/3854047.

#SPJ7

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

4:1

Step-by-step explanation:

26. An electronic game store is offering a 20% discount on all items in the store.
If the original price of a game is $55, how much will it cost after the discount?

Answers

Answer:

11$

Step-by-step explanation:

20% is equivalent to 0.20, so if we multiply that by 55, it will take off 20% of the price, giving us 11$.

0.20 × 55 = 11

Brainliest please?

Answer: ✨$75✨

Step-by-step explanation: ✨Well I added them I hope this helps✨

Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =

Answers

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

How do we find the sin, tan, and sec function?

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

Learn more about trigonometry;

https://brainly.com/question/26719838


Given conversion factor what is the above line segment's unit
1 ft
measure in inches? Round your answer to the nearest tenth.
Answer here
Please help

Answers

Answer:

24

Step-by-step explanation:

[tex]Convert\ the\ unit\ for\ \frac{12in}{1ft}:\\ \downarrow\\ 24[/tex]

I hope this helps you

:)

HURRY!!!! I ONLY HAVE 1 MIN!!!!!!

A rectangular prism is 3 meters long, 5 meters wide, and has a height of 10 meters. What is its surface area?
100 m 2
50 m 2
190 m 2
95 m 2

Answers

Answer:

190 cm^2

Step-by-step explanation:

Top and Bottom = 2(3*10)=60cm

Sides = 2(5*10)=100

Front and Back =2(3*5)=30

total = 190

Answer:

mew

Step-by-step explanation:

Word problem. Help!! Will give brainlist

Answers

Answer:

133 degrees

Step-by-step explanation:

Supplementary angles equal 180.

the 1st angle is 180, so we do:
180-47
the answer is 133

Please help pleeaassee!! >_<.

Answers

Answer:

Slope intercept form does not dictate whether or not a function is linear. What determines if a function is linear is if there is one independent variable, one dependent variable, and it makes a STRAIGHT line. This function is linear because there are only 2 variables and a horizontal line.

Levi could have determined that the graph was linear by checking the conditions stated above or graphing it out. Then, he would see that y = 2 is a straight horizontal line with an independent and dependent variable.

Hope this helps!

Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?

Answers

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

Im pretty sure there are 2 solutions
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