SOLUTION: Please graph the parabola and the axis of symmetry for the provided quadratic function. make certain to show all phases of the construction of your final graph. also, make certain
Algebra.Com
Question 331593: Please graph the parabola and the axis of symmetry for the provided quadratic function. make certain to show all phases of the construction of your final graph. also, make certain to label the coordinates of the vertex and write the equation of the axis of symmetry.
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
You should compare it to the equation for a parabola:
y = a(x-p)^2 + q.
You know that (p,q) is the vertex, and a determines the 'steepness' and direction of the parabola.
For your equation, a=-1/3, which means it opens down, and it is wider, and less steep, than the normal y=x^2 graph. It's a negative number, so it means that the parabola opens down.
Your vertex will be found at (2,1). This means that the axis of symmetry is x=2.
The easiest way to construct the graph (if you don't have a graphing calculator) is to make a table of values.
Try this site to get an image of what it should look like, and try to make your graph look like it.
http://www.wolframalpha.com/input/?i=y+%3D+-1/3(x-2)^2+%2B+1
RELATED QUESTIONS
question 1
make use of the following quadratic equation and answer the question that... (answered by Alan3354)
{{{ (2/3)x^2-3x+6=y }}} I need to find the vertex and axis of symmetry to graph the... (answered by jim_thompson5910,Alan3354)
write a quadratic function in vertex form. write the equation for the axis of symmetry of (answered by solver91311)
Write a quadratic function in vertex form. Write the equation for the axis of symmetry of (answered by Fombitz)
Help please, and show all work please.
Find the zeros and the axis of symmetry of the (answered by josgarithmetic)
3. Given the function f(x)=-x²-6x-2
(A)Determine the vertex;
(B)List the axis of... (answered by Gogonati)
Find the axis of symmetry and vertex for the following quadratic.
y=6x^2+18x+5... (answered by ewatrrr)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by RAY100)
Name the vertex and axis of symmetry for each quadratic function. Tell wherther the... (answered by RAY100,stanbon)