Mathematics: Write the equation of the parabola in vertex from

Write the equation of the parabola in vertex from

gungamer720

06.02.2022

$y=-\,(x+1)^2+3$

Step-by-step explanation:

Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:

$y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3$

we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):

$y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1$

So the final expression for the parabola in vertex form is:

$y=-\,(x+1)^2+3$

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nathan1010

20.01.2021

Its just a matter of subbing to find out...

4x + 20 = 12ywhen x = 5 and y = 0
4(5) + 20 = 12(0)
20 + 20 = 0
40 = 0nope(5,0) is not a solution

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