Question

If the point (13,−7)
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 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 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 \( f(-x) \) when the point \((13, -7)\) is on the graph of \( f(x) \), we follow these steps:

1. The point \((13, -7)\) means that \( f(13) = -7 \).
2. For the function \( f(-x) \), we replace \( x \) with \( -x \).
3. To find the corresponding point on the graph of \( f(-x) \), we set \( -x = 13 \) (which means \( x = -13 \)).
4. Therefore, \( f(-(-13)) = f(13) \) must equal \(-7\).
5. This means that \(( -13, -7 )\) will be on the graph of \( f(-x) \).

Thus, the correct point that must be on the graph of \( f(-x) \) is:

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