Question

Please answer the question in the image below

Answer 1

see explanation

Explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

thus (x - 2)² represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus + 5 represents a shift up by 5 units

Overall the graph of y = (x - 2)² + 5 is the graph of y = x²

shifted right by 2 units and up by 5 units

Answer 2

Up 5

Right 2

Explanation:

Lets graph it first.

Look at the image below ↓

By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.

Thus,

it has been moved up 5 and right 2.

Hope this helps :)