# What is the equation of the parabola that has a vertex at # (-1, 7) # and passes through point # (2,-3) #?

##### 1 Answer

If the axis is assumed to be parallel to the x-axis,

#### Explanation:

Let the equation of axis of the parabola with vertex

Then the equation of the tangent at the vertex will be

Now, the equation of any parabola having V as vertex is

This passes through

parameters a and m as

In particular, if the axis is assumed to be parallel to the x-axis, m = 0,

this method can be ignored.

In this case,

the vertex. and the equation of the parabola becomes

As it passes through (2, -3), a =25/3.

The parabola is given by

,