Cube Root Function Graphs

Jose says that the coordinates of the three major points on  this cube root function are:

• (-4, -6); (-3, -5); (-1, -5)

• (-4, -6); (-3, -5); (-2, -4)
  

• (-5, -6.5); (-3, -4); (0, -0)
  

What is the vertical stretch or compression, also known as the "a" value, of this cube root function?

• a: 2

• a: -3

• a: -1/1

• a: 1/1

Match the equation with the graph

• First, find the center (h, k). The vertex or center is (0, 3)

• Next, find the vertical stretch "a"/1. When you move one unit to the right of the center, you have to rise 1 unit to be back on the graph.

Match the equation with the graph

• Find the center (h, k). The center or vertex is (-4, 2).

Izel says that if the "a" value is negative, the graph of a cube root function will...

• still resemble the letter "s"

• have a sharper, more vertical twist on the three major points

• resemble the letter "z" more that the letter "s"

• have a flatter, more shallow twist on the three major points

Match the equation with the graph

• Find the center (h, k). The center or vertex is (5, 1)

• Find a/1. The vertical stretch is -1/1 because when you move 1 unit to the right of the vertex, you have to go down 1 unit to be back on the graph.

Match the equation with the graph

• Find the center (h, k). The center also known as vertex is (0, -4).

What's the center of the cube root function:

y = -2(x -8)^1/3 + 7?

Note: Raising to the 1/3 power is the same as cube rooting.

• (-8, 7)

• (2, 8)

• (8, 7)

• (-8, -7)

What cube root function is transformed 2 units left, 5 units down, and 0.5 times the proportions of the parent function? *Choose 2 that apply

• 
•  $y=\frac{1}{2}\left(x-2\right)^{\frac{1}{3}}+\ 5$  

•  $y=\frac{1}{2}\left(x-2\right)^{\frac{1}{3}}-\ 5$  

•  $y=\frac{1}{2}\left(x+2\right)^{\frac{1}{3}}-5$  

Match the equation with the graph

• $y=-\left(x-4\right)^3+3$

• $y=-\left(x+4\right)^3+3$

• $y=\sqrt[3]{x-4}+3$

• $y=\sqrt[3]{x+4}+3$