Question

Complete the general form equation of the parabola that passes through (1,-20) with vertex at (-2,-2)

Enter the quadratic expression in GENERAL FORM, ax^2 + bx +c.  

F(x)=________

Answer 1

equation of parabola havin vertex at (h,k) in vertex form is

f(x)= a(x-h)² +k

here parabola has vertex at (-2,-2) . so vertex form is

given parabola pass through (1,-20) .so f(1)=-20

apply this to equation and find a

so

now expand this

now simplify

so answer is