# What is the equation of the parabola that has a vertex at # (21, 11) # and passes through point # (23,-4) #?

##### 1 Answer

#### Explanation:

The General equation of a parabola is

(Parabola opened towards positive x-direction)

where

(

Here we have our vertex as (

SUBSTITUTE the x and y coordinate values of the vertex in the equation above, we get.

In order to find the value of '

then we get

Substitute the value for '

The general equation of a parabola "OPENED UPWARDS " will

results in a slightly different equation , And leads to a different

answer . Its general form will be

where (h,k) is the vertex..,