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## The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term in the par

Question

The vertex of this parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term in the parabola’s equation? 5 re (-2, -3)

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Mathematics
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2021-08-12T07:50:31+00:00
2021-08-12T07:50:31+00:00 1 Answers
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## Answers ( )

Answer:The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:We are given that the vertex of the parabola is at (-2, -3). We also know that when the

y-value is -2, thex-value is -5. Using this information we want to find the cofficient of the squared term in the parabola’s equation.Since we are given the vertex, we can use the vertex form:

Where

ais the leading coefficient and (h, k) is the vertex.Since the vertex is (-2, -3),

h= -2 andk= -3:Simplify:

We are also given that

y= -2 whenx= -5. Substitute:Solve for

a. Simplify:Therefore, our full vertex equation is:

We can expand:

Simplify:

The coefficient of the squared term of the equation is 1/9.