Help!!! Write the equation of the parabola in vertex from

Question

asked Mar 25, 2021 37.9k views

1 Answer

CurveGamma · Answer 1 · 2021-03-29T21:56:14+0000

Answer:

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

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:

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