Question

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

Answer 1

This is the answer : (answer given in the picture)

Answer 2

vertex = (- 3, 24)

Explanation:

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

The x- coordinate of the vertex is

`x_(vertex)` = -
`(b)/(2a)`

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

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

`x_(vertex)` = -
`(-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)