The vertex of the parabola is at (-3, -2). Which of the following could be its equation?

The answer to your question is the last choice

Step-by-step explanation:

Data

Vertex = (-3 , -2)

From the picture, we know that it is a vertical parabola that opens downwards.

Formula for this parabola

                          -(x - h)² = 4p(y - k)

- if p = 1/4, then 4p = 4(1/4) = 1 and the equation is

                         - (x - h)² = y - k

The equation is negative because it opens downwards.

- Substitution

                          -(x + 3)² = y + 2

- Solve for y

                           y = -(x + 3)² - 2

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.