The graph of h is a translation 6 units down and 2 units left of the graph of f(x)=x2−7x. For each value of x, g(x) is 115% of h(x).

Answer 1

The general translations of f(x) into g(x) are:

g(x) = a·f(x-b) + c

where:

1. a = vertical stretch
2. b = horizontal translation
3. c = vertical translation

In your case, a = 1.15, b = -2, c = -6:

g(x) = 1.15 [ (x+2)² - 7(x+2) - 6 ]

Multiply it all out and combine like-terms to put it into standard form.