Question

Given the function f (x) = 32 (x + 4)2 − 3 identify the following:

(a) (1 point) What is the value of a?
(b) (1 point) What is the value of h?
(c) (1 point) What is the value of k?
(d) (1 point) Does this graph have a maximum or minimum value? (circle one).

Answer 1

Answers:

• a = 3/2
• h = -4
• k = -3
• Minimum value

Step-by-step explanation

The given function is in vertex form
`\text{y} = \text{a}(\text{x}-\text{h})^2 + \text{k}`

a = 3/2 is the leading coefficient just to the left of the parenthesis.

Because a > 0, the parabola opens upward to produce the minimum f(x) value. It corresponds to the vertex and the lowest point on the parabola.

Rewrite the x+4 as x - (-4) to help see that h = -4. Also k = -3. The vertex is located at (h,k) = (-4,-3).