Aparabola passes through the points (-2,8), (0,2), and (1,5). what function does the graph represent?

ANSWER

EXPLANATION

Let the function that represent the graph be:

The parabola passes through the points (-2,8), (0,2), and (1,5).

These points must satisfy the function.

For (-2,8), we have

This implies that that,

For (0,2), we have,

This implies that,

For (1,5), we have

This implies that,

Put c=2 into equation (1) and (2).

Add equation (3) and equation (4)

Put a=2 into equation (4).

Therefore the function is

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.