Question

Write a formula for function g in terms of function h.

Answer 1

Answer:

• g(x) = h(x + 7) + 5

Step-by-step explanation:

Compare the corresponding points, the best is vertices

• y = h(x) ⇒ (- 2, - 7)
• y = g(x) ⇒ (5, - 2)

Find the difference of coordinates, the rule of translation right and up

• x = 5 - (-2) = 7
• y = - 2 - (- 7) = 5

The formula of g(x) in therms of h(x) is:

• g(x) = h(x + 7) + 5