Question #8f220

1 Answer
Feb 15, 2018

Please see below.

Explanation:

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The general form of a parabola equation if it is an up or down parabola is:

#y=ax^2+bx+c#

If it is a sideways parabola it is:

#x=ay^2+by+c#

The vertex form of an up or down parabola is:

#y=a(x-h)^2+k#

The vertex form for a sideways parabola is:

#x=a(y-k)^2+h#

It is important to remember that #h# always stays with #x# and #k# always stays with #y#.

The coordinates of the vertex of the parabola are:

#vertex (h,k)#

which means #h# and #k# are #x# and #y# coordinates of the vertex.

#1/(4a)# represents the distance between the vertex and the focus of the parabola.