Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Given [tex]$h(t) = -2(t + 5)^2 + 4$[/tex], find [tex]$h(-8)$[/tex].

A. -334
B. -14
C. 45
D. 445

Sagot :

GinnyAnswer
To solve for [tex]\( h(-8) \)[/tex] given the function [tex]\( h(t) = -2(t + 5)^2 + 4 \)[/tex], follow these steps:

1. Substitute the value [tex]\( t = -8 \)[/tex] into the function:
[tex]\[ h(-8) = -2((-8) + 5)^2 + 4 \][/tex]

2. Simplify the expression inside the parenthesis:
[tex]\[ -8 + 5 = -3 \][/tex]

3. Square the result:
[tex]\[ (-3)^2 = 9 \][/tex]

4. Multiply by -2:
[tex]\[ -2 \times 9 = -18 \][/tex]

5. Add 4 to the result:
[tex]\[ -18 + 4 = -14 \][/tex]

Thus, the value of [tex]\( h(-8) \)[/tex] is [tex]\(-14\)[/tex].

So the correct answer is:
[tex]\[ \boxed{-14} \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.