The graph of g (x) is the graph of f (x) = x^2 shifted 4 units left, vertically streched by a factor of 3, then shifted 5 units up. What is the function rule for g (x) ?

If you could explain the steps in how you got the answer that would be so great. : P

Question

Janessa Boyer

27 August, 14:01

+2

Answers (2)

Know the Answer?

Natalie · Answer 1

I think it would be (x) = 2x2

Claire Harrison · Answer 2

F (x) = x^2

4 unit shift to left: (x^2 + 4)

vertical stretch factor of 3: 3 (x^2 + 4)

upward shift of 5: 3 (x^2 + 4) + 5

g (x) = 3 (x^2 + 4) + 5

The graph of g (x) is the graph of f (x) = x^2 shifted 4 units left, vertically streched by a factor of 3, then shifted 5 units up. What is the function rule for g (x) ?If you could explain the steps in how you got the answer that would be so great. : P