Solving Quadratics
Solve for x by factoring and using the zero product property.
0=x^2+6x+5
x= -1, x= -5
Write a possible equation for a parabola that has x-intercepts at (3,0) and (-4,0)
y=(x-3)(x+4)
Convert from standard form to factored form.
y=2x^2-8x+6
y=2(x-1)(x-3)
Solve for x using the Quadratic Formula.
0=x^2-4x+3
x=3, x=1
Write a possible equation for a parabola that has a vertex at (-5,7)
y=(x+5)^2+7
Convert from standard form to vertex form.
y=x^2+2x+11
y=(x+1)^2+10
Solve for x by completing the square.
0=x^2+2x+17
x= -1 + 4i
x= -1 - 4i
Write a possible equation for a parabola that has a y-intercept at (0,8)
y=x^2+3x+8
Convert from vertex form to standard form.
y=(x+3)^2-4
y=x^2+6x+5