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# Parabolas

### Determing the Equation of parabola

y=a(x-h)²+k vertex form
y=a(x-h)²+k vertex (h,k)
y=a(x-h)²+k axis of symmetry x=h
ax²+bx+c standard form
ax²+bx+c axis of symmetry -b/2a
ax²+bx+c y-intercept c
a(x-p)(x-q) intercept form
a(x-p)(x-q) x-intercepts (p,0) (q,0)
a(x-p)(x-q) axis of symmetry is halfway between _________ p and q
a(x-p)(x-q) x coordinate of vertex p+q/2
ax²+bx+c x coordinate of vertex -b/2a
Form of Equation y=... y=a(x-h)^2+k
Form of Equation x=... x=a(y-k)^2+h
opening up, y=... a>0
opening down, y=... a<0
opening to the right x=... a>0
opening to the left x=... a<0
Created by: lesterstoffels