The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of function h?
O A h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
o
O
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2

A

Step-by-step explanation:

Given the graph of f(x) then f(x + h) represents a horizontal translation of f(x)

• If h > 0 then a shift of h units to the left

• If h < 0 then a shift of h units to the right

Thus h(x) = (x + 2)² + c

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

• If c > 0 then a shift of c units up

• If c < 0 then a shift of c units down.

Thus

h(x) = (x + 2)² + 5 → A

the answer is A

Step-by-step explanation:

hopes this helps and hope it is right

Step 4

Step-by-step explanation:

4^-4 is 1/256

-(1/4^-4) is -256