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

Answer:

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

Step-by-step 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

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