Question

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 7). Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 7 units. B. The graph of h is the graph of g vertically shifted down 7 units. C. The graph of h is the graph of g horizontally shifted right 7 units. D. The graph of h is the graph of g horizontally shifted left 7 units.

Answer 1

D. The graph of h is the graph of g horizontally shifted left 7 units.

Explanation:

if x= 1 in the example, it would be 1 + 7 = 8 for h(x) while it would be just 1 for g(x)