Write a table values for the function f(x) = ( 2-x)^2

Answer 1

Hi there,

f(x)= is another way of saying y=

In the equation you are given, f(x)=(2-x)^2 this simply means y=(2-x)^2

From here, to get a table of values, we can simple plug in a number of x values and get out a y value (or our f(x).

I like to go from -2 to 2 so we will start there

f(-2)=(2-(-2))^2

= (2+2)^2

=(4)^2

=16

f(-1)=(2-(-1))^2

=(2+1)^2

=(3)^2

9

f(0)=(2-0)^2

=(2)^2

=4

f(1)=(2-1)^2

=(1)^2

=1

f(2)=(2-2)^2

=(0)^2

=0

From here, we just put these X and Y values into a table. The X values are our inputs and the Y values are our outputs.

The table will look as follow:

X f(x)=(2-x)^2

-2 16

-1 9

0 4

1 1

2 0

I hope this helped!!!!