Respuesta :

Answer:

Step-by-step explanation:

From the given function,

f(x) = -3(x + 1)²+ 18

By comparing this equation with the standard equation of the quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex.

Part A

Vertex of the given equation → (-1, 18)

Part B

y-intercept → For the value of y at x = 0

y = -3(0 + 1)² + 18

y = -3 + 18

y = 15

y - intercept → (0, 15)

Part C

Since, the given function is opening downwards,

Function will have a maximum.

Part D

Coordinates of maximum point → (-1, 18)

Part E

Axis of symmetry → x = -1

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