Denise G. answered 04/18/19
Algebra, College Algebra, Prealgebra, Precalculus, GED, ASVAB Tutor
We can set up this equation in its factored form using the x intercepts.
y=a(x-0)(x-110) and simplified
y=a(x)(x-110)
To figure out what a is, the vertical stretch which will give us the vertex at (55,24), we can plug in the vertex as the x and y coordinates and solve for a
24 = a(55)(55-110)
24 = -3025a
Divide both sides by -3025
24/-3025 = -3025a/-3025
This simplifies to
a=-24/3025
The equation is y=-24/3025x(x-110)
We can use the distributive property to get general form
y=-24/3025x2+48/55x