Question

What is the minimum or maximum value of the equation of this equation?
f(x) = -(x-8)^2 -30​

Answer 1

9514 1404 393

Answer:

f(8) = -30 is the maximum

Explanation:

The equation is that of a parabola in vertex form:

y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor

Comparing this form to the given equation, we have ...

f(x) = -(x -8)^2 -30

• a = -1
• h = 8
• k = -30

That is, the scale factor is -1, and the vertex is (8, -30).

When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.