Question

Let f(x) = 3x - 5. g(x) = f(x + 4) and h(x) = g(–3x). What are the slope and y-intercept of the graph of function h?

Answer 1

Slope is - 9, y-intercept is 7.

Explanation:

f(x) = 3x - 5

g(x) = f(x+4) = 3(x+4) - 5= 3x + 12 - 5 = 3x + 7

h(x) = 3( - 3x) + 7 = - 9x + 7

h(x) = - 9x + 7

Slope of h(x) is - 9, y-intercept is 7.