SOLUTION: Okay, First of all here is the question. "Graph the following quadratic equation {{{ F(x)=x^2+4x }}}." I am learning on how to graph quadratic equations using the following for

Question 669418: Okay, First of all here is the question. "Graph the following quadratic equation ."
I am learning on how to graph quadratic equations using the following formula and in the assignment. Being that H=x the axis of symmetry and (h,k) is the vertex. How do I graph this? This is what I have done so far.

A=1
B=4
C=0
Now using the following formula I can find if the parabola has what type of points.
b2-4ac means = 16 meaning has to equal points right? I am not sure this is where I am confused...
If my work here didn't make any sense just ignore it.
Thank you so much.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Graph the following quadratic equation
The graph of quadratic equations are parabolas.
The best way to do this is convert the equation to a form which will give you information with which you can draw the graph. The standard form of equation for a parabola, y=a(x-h)^2+k, which you just learned is such a form. It provides you with the following information:
(h,k)=(x,y) coordinates of the vertex.
axis of symmetry
if a>0, the parabola opens upwards, curve has a minimum
if a<0, the parabola opens downwards, curve has a maximum
..
For given equation:
F(x)=x^2+4x
complete the square
F(x)=(x^2+4x+4)-4
F(x)=(x+2)^2-4
This is an equation of a parabola that opens upwards(a=1)
Its vertex: (-2,-4) minimum of -4 at x=-2
axis of symmetry: x=-2
x-intercept:
set y=0
x^2+4x=0
x(x+4)=0
x=0
and
x=-4
you now have the information needed to draw the graph of the parabola.
see the following graph below:

RELATED QUESTIONS
okay I am on the wrong track all I can remember is slope intercept but that's not what... (answered by ReadingBoosters)

I really need some help with these two problems. I don't know where to get started or how (answered by checkley71)

I am trying to figure out how to make a f(x) function for the following coordinates (I am (answered by rothauserc)

Hello, This is my first time on this site, but I have heard that you help students... (answered by stanbon)

I need your help on how to graph this equation,here is the question along with the... (answered by Earlsdon)

I'm not sure if this question falls under the graph section, but here's the question:... (answered by MathLover1)

Greetings, I am doing homework on a website. Here is the problem: Write a quadratic... (answered by MathLover1)

Please help me solve the following equation: (((f(x)=-x^2+4x+5))) The question does... (answered by stanbon)

We are learning about The Triangle Inequality and I am stuck on a question: If the sides (answered by jim_thompson5910)