Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.