Question

Which function is the result of translating ƒ(x) = x2 + 5 upward by 5 units and to the right by 1 unit? Question options: A) y = (x – 1)2 + 5 B) y = (x – 1)2 + 10 C) y = (x + 1)2 + 5 D) y = (x + 1)2 + 10

Answer 1

Answer:

A) y = (x – 1)2 + 5

Step-by-step explanation:

g(x) = a(x-h)^2+k

stretches/shrinks vertically by a factor of a,

displaces to the right by h, and

moves upwards by k.

Here

a = 1  (no stretching nor shrinking)

h = 1 (moves right by 1)

k = 5 (moves up by 5

So the answer is

A) y = (x – 1)2 + 5