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 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 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 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)
.

Answer 1

To find the corresponding point on the graph of \( f(-x) \) given that the point \( (13, -7) \) is on the graph of \( f(x) \), we need to understand how the transformation affects the x-coordinate.

The function \( f(-x) \) reflects the graph of \( f(x) \) across the y-axis. This means that if \( (a, b) \) is on \( f(x) \), then \( (-a, b) \) will be on \( f(-x) \).

Since we have the point \( (13, -7) \) on \( f(x) \), the corresponding point on \( f(-x) \) will be:

• Change the x-coordinate from \( 13 \) to \( -13 \).
• Keep the y-coordinate the same \(-7\).

Thus, the corresponding point on the graph of \( f(-x) \) is \( (-13, -7) \).

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