Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced 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 using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.