A function that shifts y=x^2+1 up 5 units

Question

asked Jan 18, 2021 70.6k views

1 Answer

Greyfade · Answer 1 · 2021-01-23T04:16:12+0000

Answer:

$y = {x}^(2) + 6$

Explanation:

The given function is

$y = {x}^(2) + 1$

We want to find a function that shifts this function up by 5 units.

We let:

$f(x) = {x}^(2) + 1$

Then the transformed function we are looking for is

g(x) = f(x) + 5

This implies that:

$g(x) = {x}^(2) + 1 + 5$

$g(x) = {x}^(2) + 6$

Hence the function we are looking for is

$y = {x}^(2) + 6$