What is the y-value of the vertex of the function f(x)=-(x+8)(x-14)? 3 6 112 121
2 answers:
Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
= -
= 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
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circumference = 2
Circumference = 2
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2
24pi / 2 = 12 pi
12 pi = 37.68
The answer is B. 37.7
Answer:
Step-by-step explanation:
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