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Lapatulllka [165]
2 years ago
14

Does anyone know the answer to this????

Mathematics
2 answers:
nadya68 [22]2 years ago
7 0

Answer:

5a

Step-by-step explanation:

By vertical angle theorem

miskamm [114]2 years ago
6 0

Answer:

its 5x

Step-by-step explanation:

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6 points
kodGreya [7K]

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

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Step-by-step explanation:

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