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shutvik [7]
3 years ago
7

Please help me out.........

Mathematics
2 answers:
tia_tia [17]3 years ago
7 0

<em>Answer:</em>

<em>This is the answer : (answer given in the picture)</em>

spayn [35]3 years ago
7 0

Answer:

vertex = (- 3, 24)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0, then

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = - x² - 6x + 15 ← is in standard form

with a = - 1, b = - 6, thus

x_{vertex} = - \frac{-6}{-2} = - 3

Substitute x = - 3 into the function for corresponding value of y

y = - (- 3)² - 6(- 3) + 15 = - 9 + 18 + 15 = 24

vertex = (- 3, 24)

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