Graphing Quadratic Functions
Use your graphing calculator to help you determine the number and type of solutions to the Quadratic Equation 3x2=18x\displaystyle {3}{x}^{{2}}={18}{x}
  1. Begin by putting the equation into standard form.
  2. Graph the function on your calculator. [Hint: Use the following window on your graphing calculator: Xmin = -5, Xmax = 11, Ymin = -32, Ymax = 5]
  3. IF your solutions are real number solutions, use the graphing INTERSECT method to find them.
  4. Draw the parabola neatly below by plotting the highest (or lowest) point and one other point.
  5. Place a point on the graph at each of the Horizontal Intercepts, if any
  6. Below the graph, identify the number of Real Solutions and identify those solutions
Graph the function and plot the Horizontal Intercepts:
1234567891011-1-2-3-4-512345-1-2-3-4-5-6-7-8-9-10-11-12-13-14-15-16-17-18-19-20-21-22-23-24-25-26-27-28-29-30-31-32
Clear All Draw: ParabolaDot
Identify the number of Real Solutions (0, 1 or 2):
Identify the Real Solutions rounded to two decimal places: x=\displaystyle {x}=  

[Hint: If two solutions exist, enter the answer as a,b\displaystyle {a},{b}. If only one solution exists, enter a\displaystyle {a}. If none exist, enter DNE\displaystyle {D}{N}{E}.

License