Question

How is the function shown below related to y=​x? Graph the function by translating the parent function.

y=x−4

Answer 1

Explanation:

y = x and y=x-4 are both lines, they both have the same slope (which is 1), and they are both positive (increasing) slopes.

y = x passes through (0,0) (this is sometimes called the 'origin'). The y intercept is 0. The x intercept is also 0.

y = x-4 crosses through the y axis at -4. (Another way to say this is the y intercept is -4.)

The x intercept can be found by substituting y = 0.

y = x-4

0 = x-4, so x = 4 is the x intercept.

The graph would just be a shift down 4 units.

See screenshot