If h(x) represent a parabola whose turning point is at (-3,7) and the funtion f is defined by f(x)= -h(x+2), then what are the coordinates of the turning point of f? explain your reasoning

Answer 1

The turning point of f(x) will be at (-5, -7) for the following reason.

The function f(x) is a transformation of h(x) in two ways.

First it negates the y-value, which does not change the x-position of the

tuning point, only negates the y-position.

Second, it adds 2 to the x-value, which shifts the graph by 2 to the left.