Question

24 Identify the min/max value of each. Then sketch the graph. 7) f (x) = -x + 8.x - 20 ܐ 1 4 16 8 fr

Answer 1

The form of the quadratic function is

`f(x)=ax^2+bx+c`

a is the coefficient of x^2

If a > 0, then the function has a minimum vertex

If a < 0, then the function has a maximum vertex

In the given function

`f(x)=-x^2+8x-20`

The value of a = -1

Since -1 < 0, then

The given function has a maximum vertex

The function has a maximum value

The graph of the function

Its vertex point is a maximum point (4, -4)

Its maximum value is -4