Using the given information, give the vertex form equation of each parabola.
vertex: (-1,-10) focus: (-3/4, -10)

Step-by-step explanation:

If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex.  This information tells you a ton of stuff.  First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared.  This equation is

The information also tells us that p (the distance between the vertex and the focus) is .25.  h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10.  Filling in our formula:

Simplify the left to

and solve for x:

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step-by-step explanation:

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step-by-step explanation: