Question

If the point (4,−6)
is on the graph of f(x)
, what point below must be on the graph of f(−x)
?(1 point)
Responses

(4,−6)
open paren 4 comma negative 6 close paren

(4, 6)
(4, 6)

(−4, 6)
(−4, 6)

(−4,−6)

Answer 1

To find a point on the graph of \( f(-x) \) given that the point \( (4, -6) \) is on the graph of \( f(x) \), we can use the following reasoning:

1. Since \( (4, -6) \) means that \( f(4) = -6 \), we know the output of the function at \( x = 4 \).
2. For the function \( f(-x) \), we need to evaluate it at \( -4 \). Specifically, \( f(-4) \) will have the same output as \( f(4) \).
3. Therefore, \( f(-4) = f(4) = -6 \).

This means the point \( (-4, -6) \) is on the graph of \( f(-x) \).

The correct response is:

**(−4, −6)**