The original graph of the function y=f(x) is shown. Select the table that represents y=f(−x) . (1 point) Responses x f(−x) 1 2 2 0 3 2x f left parenthesis negative x right parenthesis 1 2 2 0 3 2 x f(−x) −1 2 −2 0 −3 2 x f left parenthesis negative x right parenthesis negative 1 2 negative 2 0 negative 3 2 x f(−x) 1 −2 2 0 3 −2 x f left parenthesis negative x right parenthesis 1 negative 2 2 0 3 negative 2 x f(−x) −1 −2 −2 0 −3 −2 x f left parenthesis negative x right parenthesis negative 1 negative 2 negative 2 0 negative 3 negative 2 Skip to navigation
To find the table that represents y=f(−x), we need to substitute −x into the original function and calculate the values.
Using the original function y=f(x), we have:
x f(x)
1 2
2 0
3 2
Now, substituting −x into the function, we get:
x f(−x)
-1 2
-2 0
-3 2
So, the correct table that represents y=f(−x) is:
x f(−x)
-1 2
-2 0
-3 2