The graph of g is a vertical stretch by a factor of 4 and a reflection in the x-axis, followed by a translation 2 units up of the graph of f(x)=x2. Write a rule for g. Then identify the vertex.
Answer:
f(x)=x^2
g(x)= -4(x^2)+2
(0,2)
Step-by-step explanation:
Using transformation concepts, it is found that:
The rule for g is: [tex]g(x) = -4x^2[/tex]The vertex is: (0,0).------------------------------------
Stretching a function [tex]f(x)[/tex] vertically by a factor of b is given by: [tex]g(x) = bf(x)[/tex]Reflecting a function over the x-axis is the equivalent of: [tex]g(x) = -f(x)[/tex]------------------------------------
The original function is: [tex]f(x) = x^2[/tex].Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^2[/tex]Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^2[/tex], which is the rule for g.From the graph added at the end of this answer, the vertex is at (0,0).A similar problem is given at https://brainly.com/question/15196246
2.
If you have a word problem that mentions the number of students in your school, what
variable would you assign to the number of students?
Answer:
If you're looking at all the students together, a variable you could use would be S.
If you're looking at separate sexes, you could use B & G.
The cost of Veronica's dinner is $13.75 she leaves a tip that is 18% of the cost of dinner how much tip did she leave for her server?
Answer:
2.48$
Step-by-step explanation:
You can say that the tip is ? of of 13.75 and written as
[tex]\frac{?}{13.75}[/tex] and .18 is [tex]\frac{18}{100}[/tex] cross multiply these so
13.75 x 18 = 100?
247.5 = 100?
2.475 = ?
then round up
Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3
can someone help me ill thank them and everything
Answer:
c
Step-by-step explanation:
If they weren't equally likely then one would be more correct and therefore the other would be wrong. It's like a coin flip heads or tails it doesn't matter because it is equally likely.
A marathon is 26.2 miles long. There is a water station every 114 miles along the race route. How many water stations are needed for this marathon? here is the "answer" aka the options you have. 12,16,21,26. Please help me!!!!!!!!
Answer:
I think 21
Step-by-step explanation:
Fabio is driving west away from Albany and towards buffalo along interstate 90 at a constant rate of speed of 62 miles per hour. After driving for 1.5 hours Fabio is 221 miles from Albany
Answer:
The distance between Albany and Buffalo along the I90 is 288.8 mi.
The speed of Fabio is 62 mph.
After 1.5 hours, he is 221 miles from Albany.
Things we can calculate here:
Using the relation:
Distance = time*speed.
We can calculate the number of miles that he moved in that 1.5 hours.
D = 62mph*1.5h = 93mi.
If after 1.5 hours, he was 221 miles Albany, then before that he was 93 miles closer to Albany.
His initial position was:
221 - 93 = 128 miles away from Albany.
Now we also can calculate the time left to arrive at Buffalo.
We know that the distance between Albany and Buffalo is 288.8 mi
And he is 221 mi away from Albany.
Then the distance left to Buffalo is:
288.8mi - 221mi = 67.8mi
And the time left will be:
Distance/speed = time
67.8mi/62mph = 1.1 hours.
He needs to drive for another 1.1 hours to get to Buffalo.
3(3x - 1) + 2(3 - x) = 0
Answer:
-3/7
Step-by-step explanation:
There could be ___ solutions to an inequality.
three
common
infinitely many
two
Inequality has a set of solutions there could be infinitely many solutions to inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Let's consider inequality,
n > 3 where n is the natural number.
Now 4,5,6,7.... up infinite will be the solution of the inequality.
Therefore, inequality consists of infinitely many solutions.
Hence "Inequality has a set of solutions there could be infinitely many solutions to inequality".
For more about inequality,
brainly.com/question/20383699
#SPJ2
find the y-intercept of f(x) = 3x^2 + 6x
Answ3r:
81x^2
Step-by-step explanation
I think
Answer:
x=0
Hope this helped!!!! :)
Un inversionista desea comprar acciones de dos tipos. Las de tipo A generan un interés simple a razón de una tasa de 0,5 % mensual; mientras que las de tipo B producen un interés compuesto del 0,3 % mensual capitalizable trimestralmente. Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses? ¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00? ¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?
Answer:
Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses?
$10,000 x 0.5% x 6 = $300
¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00?
interes compuesto = 0.9% trimestral
X · (1 + 0.009)² = X + $876
1.018081X = X + $876
0.018081X = $876
X = $876 / 0.018081 = $48,448.65
¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?
$1 x 106% = $1 x (1 + i)⁴
$1.06 = $1 x (1 + i)⁴
(1 + i)⁴ = $1.06 / $1 = 1.06
⁴√(1 + i)⁴ = ⁴√1.06
1 + i = 1.01467
i = 0.01467 = 1.467% trimestral
0.489% mensual capitablizable trimestralmente
PLEASE ANSWER IT CORRECT PLEASE!!!
Answer:
11. y=1 1/3x-3
12. y-4=3(x-2)
Step-by-step explanation:
here ya go
Find the slope of ( 2 , 4 ) and ( 6 , 12 )
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
A
Step-by-step explanation:
12-4/6-2=8/4=2/1
I need Your help plish
Answer:
5
Step-by-step explanation:
Because there is zones
Evaluate:
-1 + 8(-9) -|-3-7
Answer:
-63
Step-by-step explanation:
The square root of 60 to the nearest tenths place
Answer:
7.7
Step-by-step explanation:
[tex]\sqrt{60} = 7.74[/tex] 7.74 to the nearest tenths place: 7.7I hope this helps!
How many quarts are in 583.7 liters?
Answer:
616.788
OR
616.79 (rounded answer)
Step-by-step explanation:
Answer:
616.78891
Step-by-step explanation:
1 liter is 1.05669 quarts
Good luck!
Write an expression for the perimeter of the triangle shown below:
The awnser choices are:
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
Lisa and two friends shop at a bookstore. they each choose a book and share the cost equally among the 3 of them the total cost of the books is $27:00
A. create an equation that models the situation, using c to represent how much in dollars each person pays
B. how much does each person pay
Answer:
27/3=9 the answer is nine
Step-by-step explanation:
Find the slope help plz
Answer:
The slope would be 10/15 or 2/3 in simplest form.
plz help ASAP please please
Answer:
9030.75
Step-by-step explanation:
5039.16/.558=9030.752688
round to the nearest hundredth
9030.75
i think
0.09 divided by 1.053
Answer:
0.085 round to the nearest thousandth
Answer:
[tex]\frac{10}{117}[/tex]
Step-by-step explanation:
Convert the decimal into a fraction
9/100 ÷ 1.053
Convert the decimal into a fraction
9/100 ÷ 1053/1000
To divide by a fraction, multiply by the reciprocal of that fraction
9/100 × 1000/1053
Reduce the number with the greatest common factor 100
9 × 10/1053
Reduce the number with the greatest common factor 9
10/117
Solution
10/117
Alternate form
0.85470
150 ml of orange juice has a mass of 200g. What is the density?
Consider the complex number i 6.
What is the real part?
Answer:
For example, 2 + 3i is a complex number. ... The real number a is called the real part of the complex number a + bi; the real number b is called its imaginary part. To emphasize, the imaginary part does not include a factor i; that is, the imaginary part is b, not bi.
determining y intercept and zeroes. PLEASE HELP!!! with either one is okay !!! thank you!
what is the rule for the reflection ?
Answer:
Notation Rule A notation rule has the following form ry−axisA → B = ry−axis(x,y) → (−x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1. Reflection A reflection is an example of a transformation that flips each point of a shape over the same line.
Step-by-step explanation:
Answer:
When you reflect, the y-coordinate remains the same, but the x-coordinate us transformed into the opposite (flip signs)
If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements?
Answer:
Brannock device or a ruler measuring from your heel to the longest toe
Step-by-step explanation:
Answer:
inches. i think. /: l
Step-by-step explanation:
Which of the following is equivalent to 5x-6y=20?
A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x
Answer:
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Given expression:
5x - 6y = 20
To solve this problem, we make y the subject of the expression:
Solution
5x - 6y = 20
Add -5x to both sides of the expression;
-5x + 5x - 6y = 20 + (-5x)
-6y = 20 - 5x
Now, multiply both sides by [tex]-\frac{1}{6}[/tex] ;
[tex]-\frac{1}{6}[/tex] x (-6y) = [tex]-\frac{1}{6}[/tex] (20 - 5x )
y = [tex]-\frac{20}{6}[/tex] + [tex]\frac{5}{6}[/tex]x
y = [tex]\frac{5}{6}[/tex]x - [tex]\frac{10}{3}[/tex]
Help help me plsssssSss
Answer:
Step-by-step explanation:
it is that because it equalls with positives numbers and if u do your calculation maybe youll undestand
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)