If the point (13,−7)

Question

is on the graph of f(x)
, what point must be on the graph of f(−x)
?(1 point)
Responses

The point (−13,−7)
must be on the graph of f(−x)
.
The point left parenthesis negative 13 comma negative 7 right parenthesis must be on the graph of f left parenthesis negative x right parenthesis .

The point (−13,7)
must be on the graph of f(−x)
.
The point left parenthesis negative 13 comma 7 right parenthesis must be on the graph of f left parenthesis negative x right parenthesis .

The point (13,−7)
must be on the graph of f(−x)
.
The point left parenthesis 13 comma negative 7 right parenthesis must be on the graph of f left parenthesis negative x right parenthesis .

The point (13,7)
must be on the graph of f(−x)
.

Answer 1

If the point \((13, -7)\) is on the graph of \(f(x)\), this means that \(f(13) = -7\).

To find the corresponding point on the graph of \(f(-x)\), we consider the transformation involved. The graph of \(f(-x)\) reflects the graph of \(f(x)\) across the y-axis. Therefore, the x-value of the point will be negated.

So, if \(f(13) = -7\), for \(f(-x)\): \[ f(-13) = f(13) = -7. \]

This means that the point \((-13, -7)\) must be on the graph of \(f(-x)\).

Thus, the correct response is: The point \((-13, -7)\) must be on the graph of \(f(-x)\).