Question

How many units up was the graph of f(x) =∛x shifted to form the translation?

(answer is a number)

Answer 1

2 units up was the graph of f(x) =∛x shifted to form the translation

Explanation:

y-intercept:

A line crosses the y-axis of the graph.

i.e

Substitute x = 0 and solve for y.

Given the parent function:

`f(x) = \sqrt[3]{x}`

by definition of y-intercept

y-intercept of the parent function = 0

Since, the another graph cuts the y-axis at 2.

⇒y-intercept = 2

Then the new graph becomes:

`f(x) = \sqrt[3]{x}+2`

Therefore, 2 units up was the graph of f(x) =∛x shifted to form the translation
`f(x) = \sqrt[3]{x}+2`

Answer 2

The graph of f(x) =∛x was shifted 2 units up to form the translation.