Question

A parabola has a vertex at (0, –1) and passes through the point (2, 2). Which of the following is the equation of this parabola in the form

Answer 1

for vertex at (h,k)

the equation is

y=a(x-h)^2+k

for vertex at (0,-1)

equation is

y=a(x-0)^2+(-1) or

y=ax^2-1

find what a is

(2,2)

x=2

y=2

2=a(2^2)-1

2=a(4)-1

add 1

3=a(4)

divide both sides by 4

3/4=a

the equation is

y=3/4x^2-1

Explanation:

I really hope it helps!