Identify the vertex and the y-intercept of the graph of the function.
y = -1.5(x + 2)2
vertex, (0, -2); y-intercept, -2
vertex, (-2, 0); y-intercept, -6
vertex, (0, -2); y-intercept, -6
vertex, (-2, 0); y-intercept, -2

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Answer:

Step-by-step explanation:

vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)² + k

y = -1.5(x+2)²

vertex (-2,0)

y-intercept = -1.5(0+2)² = -6

The vertex is ( -2 , 0) and the y intercept is -6 , Therefore Option B is the correct answer.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The equation given is of a parabola

The vertical parabola has the equation

y = a(x-h)² + k

y = -1.5(x + 2)² + 0

here (h,k) is the vertex

h = -2 , k = 0

The y intercept has to be determined

at x = 0 ,  y = ?

y = -1.5 ( 0 +2)²

y = -6

The vertex is ( -2 , 0) and the y intercept is -6 , Therefore Option B is the correct answer.

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