Write an equation of a parabolawith a vertex (-5,2) and a directrix y = -1.

Step-by-step explanation:

We start with the standard form of a parabola which is

We know h and k from the vertex, we just need to solve for p and then simplify the equation.  P, by definition, is the distance between the directrix and the vertex.  That is 3 units.  So p = 3.  Fitting that into our equation along with h and k gives us:

Divide both sides by 12, then add the 2 to both sides and we have our parabola!

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

look at photo