Given the vertex of (3, 6) of a quadratic and a point at (4,8) what would be the a value for the quadratic?

a = ?

Step-by-step explanation:

We have the following quadratic equation in vertex form:

Where is the vertex of the parabola.

They give us the vertice:

(3, 6)

So:

Therefore the equation is of the form:

Now we need to find the value of a.

We have another point that belongs to the equation: (4, 8)

Then we substitute the values in the equation and clear a.

.

Finally the equation is: