Question

Answer the questions below about the quadratic function.
f(x) = -3x² – 30x – 71
Does the function have a minimum or maximum value?


Where does the minimum or maximum value occur?

What is the function's minimum or maximum value?

Answer 1

Answer:

there is a maximum value

the maximum occurs at the point (-5, 4)

The maximum value is 4

Step-by-step explanation:

When graphed the function is a parabola that opens down because of the -3

Therefore, there is a maximum value and it is the k value of the vertex (h, k)

h = - b/2a       a = -3    b = -30

  =  -(-30)/2(- 3) = 30/-6 = -5

k = -3$(-5)^{2}$ -30(-5) - 71

  = -3(25) + 150 - 71

  = -75 + 150 - 71

  = 4

The vertex is (-5, 4)   So the maximum occurs at the point (-5, 4)

The maximum value is 4