Question

Suppose that F(x) = x2 and G(x) = -1/4(x+7)^2 . Which statement best compares the graph of G(x) with the graph of F(x)?

Answer 1

F(x) = x^2

G(x) = -1/4 (x+7)^2

7 is added to x , so graph shifts left by 7 units

multiplied by negative , so reflected over x axis

and multiplied by 1/4 so vertical compression by a factor of 1/4

So graph of g(x) is shifted left by 7 units , reflected over x axis and compressed vertically by a factor of 1/4