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VashaNatasha [74]
3 years ago
7

A student 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
Mathematics
2 answers:
Katen [24]3 years ago
8 0

0.5

Step-by-step explanation:

faust18 [17]3 years ago
5 0

Answer:

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

y=a(x+4)(x-6)

<em>Find the value of a in the first parabola</em>

The y-intercept is (0,-12)

so

For x=0, y=-12

substitute

y=a(x+4)(x-6)

-12=a(0+4)(0-6)

-12=a(-24)

a=0.5

<em>Find the value of a in the second parabola</em>

The y-intercept is (0,-24)

so

For x=0, y=-24

substitute

y=a(x+4)(x-6)

-24=a(0+4)(0-6)

-24=a(-24)

a=1

<em>Find the positive difference between the a values for the two functions</em>

so

1-0.5=0.5

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