Mr. Stockland Quizizz's Assignment One

The cube root function y =³ √x contains the point ( -8 , -2). If the function is Vertically Stretched by 2 and shifted right 3 units, what are the coordinates of the new point?

( -11 , 1 )

The cubic parent function y = x³ contains the point ( 2 , 8 ). If the function is shifted up 3 units and left 4 units, what are the coordinates of the new point?

( -2 , 11 )

f(x) = x³ - 5 This function goes through the point ( 1 , -4 ). What is the corresponding coordinate of the function's inverse?

( -4 , 1 )

The cube root parent function y =³ √x contains the point ( 8 , 2 ). If the function is Shifted down 8 units and Shifted left 5 units, what are the coordinates of the new point?

( 3 , -6 )

The cubic parent function y = x³ contains the point ( 2 , 8 ). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point?

( 8 , -8 )

A farmer had 15 sheep, and all but 8 died. How many are left?

8 sheep

The graph shows the function f(x)=x3 in blue and another function g(x) in red. Which could be the equation for g(x)?

D. g(x) = (x - 1)³

f(x) =³ √x + 2 - 4 Describe the transformation of the above function.

Horizontal shift left 2 and Vertical shift down 4

y = -1/2 • (x + 4)³ Describe the transformation of the above function

Reflected x-axis, Down 1, Left 4, Shrink by 1/2

f(x) =³ √x + 6 Describe the transformation of the above function

Shifted Up 6 units

y = -2(x + 5)³ Describe the transformation of the above function.

Stretch by 2, Reflected over x-axis, Left 5

Cubic and Cube Root Functions are inverses of each other because...

Switching the x's and y's of one equation gives you the coordinates for the other equation.

Name the following parent function: f(x) =³ √x

cube root

Which cubic function has the following transformations. - Vertical Stretch by 5 - Reflected over the x-axis

f(x) = -5x³

Which cubic equation has the following transformations: - Vertically Compressed by 1/2 - Shifted left 4 spaces

f(x) = 1/2 • (x + 4)³

f(x) = -2( x - 5)³ + 1 What transformations has the above function undergone?

reflect over x, vertical stretch by 2, right 5, up 1

Which cube root function has the following transformation: Vertical compression by 1/4

y = 1/4•³ √x

Which cube root function has the following transformations. - Shifted Up 2 units - Shifted Left 5 units

y =³ √x + 5 + 2