Question

Ex) The function f(x) is shown on the graph. Plot two points on this grid to create the graph of the line that would represent f(x) - 2.

Answer 1

ANSWER and EXPLANATION

We have the graph of the function f(x) given.

We want to find 2 points that will represent f(x) - 2.

This (f(x) - 2) is a transformation of the function f(x).

It is called a vertical translation. It means that the function moves on the y axis.

It is generally represented as:

f(x) + b

Comparing the required translation with the general form, we can conclude that there is a -2 shift on the y axis.

Therefore, to find two points for the new function, we have to simply pick two points from the given graph and subtract 2 from their y coordinates.

Let the two points be:

(0, 1) and (-4, 4)

Therefore, the two points will be:

(0, 1) => (0, 1 - 2) = (0, -1)

(-4, 4) => (-4, 4 - 2) = (-4, 2)

Plotting them:

The green line is the line of the new function.