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## the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the para

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the vertex of this parabola is at (2,-4). when the y-value us -3, the x-value is -3. what is the coefficient of the squared term in the parabolas equation?

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Mathematics
3 years
2021-07-18T22:47:19+00:00
2021-07-18T22:47:19+00:00 2 Answers
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## Answers ( )

Answer:-5

Step-by-step explanation:from a p e x

Answer:The coefficient of the squared term is 1/25.

Step-by-step explanation:We are given that the vertex of a parabola is at (2, -4). We also know that

y= -3 whenx= -3.And we want to determine the coefficient of the squared term of the equation.

Since we are given the vertex, we can use the vertex form of the quadratic:

Where (

h, k) is the vertex andais the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value ofa.Since the vertex is at (2, -4),

h= 2 andk= -4. Substitute:y= -3 whenx= -3. Solve fora:Simplify:

Therefore, our function in vertex form is:

Hence, the coefficient of the squared term is 1/25.