Question

Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 2 5 7 12

Answer 1

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

$f(x)=x^{2} -2x+8$......(1)

What is the general form of a quadratic equation?

The general form of a quadratic equation is $ax^{2} +bx+c=0$ with $a\neq 0$.

As we know the minimum value of a quadratic function is $\frac{4ac-b^{2} }{4a}$ when a>0

For f(x) a>0 so minimum value of f(x) = $\frac{4*1*8-(-2)^2}{4*1}$=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

To get more about quadratic functions visit:

brainly.com/question/1214333