At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer:
D
Step-by-step explanation:
Given a quadratic function in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then minimum value
• If a < 0 then minimum value
For
f(x) = x² + 16x + 3
a = 1 > 0 then f(x) has a minimum value
The minimum is the value of the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
Here a = 1 and b = 16 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{16}{2}[/tex] = - 8
To find the y- coordinate of the vertex, substitute x = - 8 into f(x)
f(- 8) = (- 8)² + 16(- 8) + 3 = 64 - 128 + 3 = - 61
Thus the function has a minimum value of - 61 → D
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.