Question

suppose a parabola has a vertex of (-4 7) and also passes through the point (-3,8). what is the equation of the parabola in vertex form

Answer 1

The equation would be y = (x+4)² + 7

Because adding 4 to 'x' creates a transformation 4 units left and adding 7 to the whole function moves the parabola up 7

Hope this helps!

Answer 2

`y=(x+4)^2+7`

Explanation:

We are given that vertex of parabola is (-4,7).

We have to find the equation of parabola in vertex form which passing through the point (-3,8).

We know that general equation of parabola in vertex form

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

Where vertex is (h,k).

Substitute the values

`y=a(x+4)^2+7`

Parabola passing through the point (-3,8) then we get

`8=a(-3+4)+7`

`8=a+7`

`a=8-7=1`

Substitute the value then we get

Equation of parabola in vertex form

`y=(x+4)^2+7`