A parabola has x-axis intercepts 6 and -3, and passes through the point (1,10). Find the equation of the parabola

We know that this parabola intecepts the x-axis in 6 and -3. This means that is a vertical axis parabola. But also we know that our parabola passes through (1,10). Graphing these we conclude that is a concave down parabola

The general formula for this is:

To solve this we need to form a 3 equations system with our three points

We can solve for c in the first one

and replace in the second one and solve for b:

And replace c and b in the third equation:

Solve for a:

so b and c:

So:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

d no solution

step-by-step explanation: