Question

Use the graphs of f and h to describe the transformation from the graph off to the graph

of h.
f(x) = -5-x
h(x) = f(-x)
The graph of h is a reflection is the
of the graph of f.

Answer 1

Explanation:

The transformation from the graph of f(x) to the graph of h(x) involves applying the function h(x) = f(-x). This means that h(x) is a reflection of f(x) across the y-axis.

Here's why:

In f(x), you have -x as the input. This means that for any x-value, the corresponding f(x) value is found by negating the x-value and then applying the original function f(x).

In h(x), you have f(-x) as the input. This means that for any x-value in h(x), the corresponding h(x) value is found by taking the x-value, negating it, and then applying the original function f(x).

This negation of the x-value effectively reflects the graph of f(x) across the y-axis. Any point (x, f(x)) on the graph of f(x) corresponds to the point (-x, f(-x)) on the graph of h(x), which is the same as reflecting the point across the y-axis.

So, the graph of h is a reflection of the graph of f across the y-axis.