# How to find the equation of a parabola given the turning points and 1 of the roots?

Given that the turning point of this parabola is (-2,-4) and 1 of the roots is (1,0), please find the equation of this parabola. I started off by substituting the given numbers into the turning point form. $$0=a(x+2)^2-4$$ but i do not know where to put the roots in and form an equation.Please help thank you.

$$y=a(x+2)^2-4$$
Now, use the property that it passes through $$(1,0)$$ to solve for $$a$$.
• Since the vertex is $(-2, -4)$, the equation should have the form $y = a(x + 2)^2 - 4$. – N. F. Taussig Nov 6 '18 at 11:20