Question: write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. then, rewrite the equation in standard form.

[hint: vertex form: y - k = a(x - h)2]

-----> vertex form

-----> standard form

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex of the parabola

In this problem we have

substitute the values and solve for a

the equation in vertex form is equal to

Find the equation of the parabola in standard form

we know that

the equation of the parabola in standard form is equal to

we have

convert to standard form

answer: (1,3) and (-2,0) i think.

the answer for this question is 38