SOLUTION: 6. Just the Math: Quadratic Function The equation that you wrote for the area, y=x^2, represents the simplest form of a quadratic function. A quadratic function is a function of

Question 580658: 6. Just the Math: Quadratic Function The equation that
you wrote for the area, y=x^2, represents the simplest form of a
quadratic function. A quadratic function is a function of the
form f(x) = ax^2 +bx+c, where a, b, and c are constants with
a=(a line thru the = mark)0. The graph of a quadratic function is a U-shaped graph.
What can you conclude about the rate of change of a quadratic
function? Use a complete sentence in your answer.
7. Identify the values of a, b, and c in each quadratic function
below.
h(x) = x2 - 3x
g(x) = 10 - x^2
f(x) = 2x^2 + 3x+5
f(x) = x^2 - 2x + 8
h(x) =2^2+4x-1
g(x) =x^2 +4

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
6. The rate of change of a quadratic function

You can evaluate it yourself, but if you know the chain rule you can conclude that it is equal to

7. Easy, a is the coefficient of x^2, b is the coefficient of x, and c is the constant term. For example,

h(x) = x^2 - 3x

has leading coefficient 1, x coefficient -3, and 0 as the constant term. Hence

a = 1
b = -3
c = 0

Try the others the same way.
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