If the point (7,43)

Question

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

(7,−43)
left parenthesis 7 comma negative 43 right parenthesis

(−7,43)
left parenthesis negative 7 comma 43 right parenthesis

(7,43)
left parenthesis 7 comma 43 right parenthesis

(−7,−43)

Answer 1

To find the point on the graph of \(-f(-x)\) given that the point \((7, 43)\) is on the graph of \(f(x)\), we can follow these steps:

1. Since \((7, 43)\) means that \(f(7) = 43\), substituting \(-x\) gives us \(f(-7)\).
2. The graph of \(-f(-x)\) means we take the output of \(f(-7)\) and negate it.
3. Therefore, we have: \[ -f(-7) = -f(7) = -43 \]

This shows that the corresponding point on \(-f(-x)\) is \((-7, -43)\).

So the answer is \((-7, -43)\).