Raphael graphed the functions g(x)=x+2 and f(x)=x-1. how many units below the y-intercept of g(x) is the y-intercept off.

3 units

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero

Looking at the graph

we have that

The y-intercept of g(x) is 2

Verify ---> For x=0 ---> g(0)=0+2=2

The y-intercept of f(x) is -1

Verify ---> For x=0 ---> f(0)=0-1=-1

Find the difference

3 units

Step-by-step explanation:

got it right on edge 2021

Hello from MrBillDoesMath!

  x = 4, slope intercept form is y = 2x + 11

Discussion:

A vertical line  goes straight up and down. The only thing "fixed" about it is its x value. Hence a vertical line has an equation like "x = ?". As your line passes through (4, -3), with x value 4. its equation is x = 4.

The slope intercept form of a line is " y = mx + b" where m is the slope of the line and b is its y intercept. We are told the desired line is parallel to  y = 2x -1 which  means both lines have the same slope (which is 2, boldfaced, above). So,  we know the slope intercept form is

y = 2x + b

but we are also told the line passes through (-3,5). Substituting these values in the above equation gives

y = 2x + b

5 = 2 (-3) + b

5 = -6 + b

b = 5 + 6 = 11

The final slope intercept form is y = 2x + 11

Regards, MrB