SOLUTION: using the formulas for parabolas, graph and write the equations of parabolas with the following properties. Graph an extra point other than a vertex. The Parabola with focus (0, 5)

Question 40448: using the formulas for parabolas, graph and write the equations of parabolas with the following properties. Graph an extra point other than a vertex. The Parabola with focus (0, 5) and directrix y= -5.
Found 2 solutions by Nate, stanbon:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
From the information we can tell that the vertex is at the origin.
P = 1/(4a) when is the distance from the vertex to the focus and from the vertex to the directrix
5 = 1/(4a)
20a = 1
a = (1/20)
Use:

For another point, pick ....

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 0, 0. Here's your graph:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
using the formulas for parabolas, graph and write the equations of parabolas with the following properties. Graph an extra point other than a vertex. The Parabola with focus (0, 5) and directrix y= -5.
Draw the picture. Do you see that the parabola must be opening upward.
Therefore the general form is x^2=4py
P is half the distance from the directrix to the focus or p=5
EQUATION:
x^2=4(5)y
y=(1/20)x^2
An extra point would be (1,1/20)
Cheers,
Stan H.
RELATED QUESTIONS
Graph the following parabolas: y= 100- x^2 and y= x^2 - 6x Thank you!!... (answered by Alan3354)
Parabolas write the equation of a parabola with the vertex (0,0) and the focus (0,-2) (answered by stanbon)
Graph the Parabolas... (answered by poliphob3.14)
i need help with writing equations for parabolas and eclipses the question i have in... (answered by stanbon)
Properties of Parabolas: Graph each function. If a>0, find the minimum value. If... (answered by jim_thompson5910)
this is for quadratic formula and parabolas which could be the graph of the parabola... (answered by rapaljer)
What is the formula for h when working with... (answered by Alan3354)
I'm hoping someone can help as I have no idea where to begin with this one. Write an... (answered by josgarithmetic)
Using the given equations of parabolas, find the focus, the directrix and the equation of (answered by solver91311)