Question

A function f(x)f(x) is graphed on the coordinate plane.

Enter the answer, to complete the equation, in the box.
f(x)=

Answer 1

-4x - 2

Step-by-step explanation

To get the function needed, first calculate the slope of the graph.

slope = (change in y) / (change in x)

= (2 - -2)/(-1 - 0)

= 4/-1

= -4

Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.

-4 = (y - 2)/(x - -1)

-4(x + 1) = y - 2

-4x - 4 = y - 2

y = -4x - 4 + 2

= -4x - 2

∴ f(x) = -4x - 2