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Blizzard [7]
2 years ago
7

What’s the answer to this equation?

Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Answer:

Part A) The graph in the attached figure

Part B) see the explanation

Step-by-step explanation:

Part A) Graph the function

we have the quadratic function

y=3x^2-12x-36

This is a vertical parabola open upward

The vertex is a minimum

using a graphing tool

The graph in the attached figure

Part B) What are the values of a, b and c?

we know that

The values of a and b represent the x-intercepts of the quadratic equation

The x-intercepts are

(-2,0) and (6,0)

so

a=-2\\b=6

Find the value of c

we know that

The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots

so

The value of c is equal to

c=\frac{a+b}{2}

substitute the given values

c=\frac{-2+6}{2}=2

see the attached figure

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