What transformations change the graph of f(x) to the graph of g(x)? f(x) = 3x2 g(x) = 9x2 - 4

Answers

Answer 1

Answer:

For any function f(x) =y = f(x) + C ,c<0 the graph shifts down by c units.

For the function y = Cf(x) If C > 1 stretches it in the y-direction .We can stretch or compress it in the x-direction by multiplying x by a constant.

The given function f(x)= $3x^(2).$ is stretched in y direction by 3 units and shifted down by 4 units to have the graph g(x)= $9x^(2). -4.$

Answer 2

Answer: multiply the whole equation by 3 then subtract 4 from te whole equation
vertically stretched by a factor of 3 and moved down 4 units is the translation

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If ,f(x)=x^3-x what is the average rate of change of f(x) over the interval [1, 5]?a. 29.5 b. 30 c. 43 d. 120

Find the unit rate: 6 yards of fabric for $8.10

Answers

Answer:

$1.35 per yard

Step-by-step explanation:

$8.10/6=$1.35

Answer:

$1.35

Step-by-step explanation:

$8.10 divided by 6

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?

Answers

Answer:

The total area of the shape is $120\ cm^(2)$

Step-by-step explanation:

step 1

Find the area of one right triangle

The area of a triangle is equal to

$A=(1)/(2)(b)(h)$

we have

$b=4\ cm$

$h=5\ cm$

substitute

$A=(1)/(2)(4)(5)=10\ cm^(2)$

step 2

To find the total area of the shape multiply the area of one triangle by 12

$A=12(10)=120\ cm^(2)$

Answer:

120 cm

Step-by-step explanation

How many ziros in the number 1.8e10?

Answers

You spelt zero wrong and theres one zero next to the 1. Comments; Report. 0 0 0. Thanks. 0. Log in to add a comment · 12ilett; Beginner

Katherine is three times older than Joel now. In twenty years Katherine will be six years older than Joel. How old is Katherine now?

Answers

She is currently 9 years old.

If Katherine is 9, and Joel is 3, 20 years later they'll be 29 and 23. Katherine is 6 years older than him.

k = 3*j;
k + 20 = 6 + (j + 20) => k = 6 + j; but k =3*j => 3*j = 6 + j => j = 3( Joel has 3 years) and k = 9 (Katherine has 9 years);

How to factor: a^2+11a+18

Answers

$a^2+11a+18\n\n-----------------------------\n\n11=9+2\n18=9\cdot2\n\n-----------------------------\n\na^2+11a+18=(a+9)(a+2)$

$a^2+11a+18=a^2+2a+9a+18=a(a+2)+9(a+2)=\n\n=(a+2)(a+9)$

A water sprinkler system can water 1/5
of a yard in
1/10
of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

A)
1 yards per hour

B)
2 yards per hour

C)
5 yards per hour

D)
10 yards per hour