Astudent draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-12). the y intercept of the second parabola is (0,-24) what is the positive difference between the a values for the two functions that describe the parabolas

The positive difference between the a values is 0.5

Step-by-step explanation:

we know that

Both parabolas cross the x axis at (-4,0) and (6,0)

so

The general equation is

Find the value of a in the first parabola

The y-intercept is (0,-12)

so

For

substitute

Find the value of a in the second parabola

The y-intercept is (0,-24)

so

For

substitute

Find the positive difference between the a values for the two functions

so