Question

If (3,6) is a point on the graph of y=f(x) , what point must be on the graph of y=f(-x)? Explain.

Answer 1

f(-x) =-f(x)
therefore if f(3) = 6, then f(-3)= -6
-3, -6 must be on the graph f(-x)

Answer 2

The function y = f(-x) has the points (-3,-6).

What is graph of a function?

The graph of a function defines the graph of f to be the graph of the equation y = f(x). f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The graph of a function is y = f(x).

The point on the graph (x,y) is (3,6)

So the function becomes,

$y=f(x)$

at (3,6), $6=f(3)$

Now, consider $y=f(-x)$ at $(3,6)$

So, $-x=3$

⇒ $x=-3$

We know that $f(-x) = -f(x)$

Then, $y=f(-3)$

⇒ $y=-f(3)$

⇒ $y=-6$

Hence we can conclude that the function y = f(-x) has the points (-3,-6).

Learn more about graph of a function here

https://brainly.com/question/23945486

#SPJ2