Solution
For this case we have the fllowing points given:
A =(60,0)
B= (30,45)
C=(0,0)
The equation is given by:
y= a (x-0)*(x-60)= ax(x-60)
Solving for a we got:
[tex]a=\frac{y}{x(x-60)}[/tex]
We can use the vertex: (30,45) and we have:
[tex]a=\frac{45}{30(30-60)}=-\frac{1}{20}[/tex]
Then the equation is:
[tex]y=-\frac{1}{20}x(x-60)[/tex]
And the plot is:
