Question

How do you find the equation for a parabola with 2 given points; (0,15), (175,0)?

Answer 1

Any parabola can be written as:

y=Ax2+Bx+C

As you said, our parabola passes through:

(4,−2), (3,−5) and (5,−5)

Substituting these values into the general equation of the parabola we get:

−2=16A+4B+C

−5=9A+3B+C

−5=25A+5B+C

So we have to solve this 3 by 3 linear system. The solution is:

A=−3B=24C=−50

The final answer is then:

y=−3x2+24x−50

Answer 2

the answer given by helper 100 is ri8