Question

Identify the translations of the parent function f(x) = x2 that give g(x) = (x − 5)2 − 4.

A. up 4 units, left 5 units
B. up 4 units, right 5 units
C. down 4 units, left 5 units
D. down 4 units, right 5 units

Answer 1

Answer: D

Explanation:

Answer 2

D

Explanation:

g(x)= (x-5)^2 -4

Now we know that it is down 4 units because -4 means the y axis translate down 4

Meanwhile, the graph actually translates to the right 5 units. This is because to get the vertex what value must will get you there

x-5=0

x=5

So 5 or at 5,-4 would be the vertex