Write an equation of the parabola in intercept form. X intercepts of 12 and -6; passes through (14,4

Question

Give me an equation in intercept Form with work shown...

Answer 1

General form of equation of the parabola in intercept form is given below:

 

y = a(x - p)(x - q)

 

where p and q are x-intercepts. So, in our case p=12 and q=-6.

 

y=a(x-12)(x+6)

 

We need to find a using another point: (14,4) - by plugging it in our equation:

 

4 = a(14-12)(14+6).

 

so  a=4/40=1/10=0.1.

 

Finally we get

 

Y=0.1(x-12)(x+6)