Describe how to obtain the graph of g from the graph of f(x)= \sqrt[3]{x} ​

Question

Describe how to obtain the graph of g from the graph of f(x)=

`\sqrt[3]{x}`
​

Answer 1

Answer: see below

Explanation:

Notes: Given
`y=a\sqrt[3]{x-h}+k`

• h: shifts to the right (if positive) or left (if negative)
• k: shifts up (if positive) or down (if negative)
• a: is a vertical stretch (if >1) or shrink (if <1)
• -a: reflection over the x-axis

11) h = -1, k = -2

shifts left 1 unit and down 2 units from the parent function

12) h = 1, k = 5

shifts right 1 unit and up 5 units from the parent function

13) k = 1, a = -1

shifts down 1 unit from the parent function and reflects over the x-axis

14) h = -1, k = 5

shifts left 1 unit and up 5 units from the parent function