Solving Quadratic Equations Graphically
Given the function f(x) = x²-10x+14 find x when f(x)=-2 using your graphing calculator.
Then follow the steps below to show the solutions graph on the computer. [Hint: Use the following
window on your graphing calculator: Xmin = -5, Xmax = 13, Ymin=-16, Ymax = 5]
1. Write the solutions as a list of ordered pairs below. Round the values of z to two decimal
places.
[Hint: If two solutions exist, enter them as (21, Y1), (2, 2). If only one solution exists, enter
(21,391). If no solutions exist, enter DNE]
2. Use the Line Tool to draw the Horizontal Line y = -2.
3. Use the Polynomial Tool to draw f(x) = x²-10x+14. [Hint: You will need to find the
vertex and one other point]
4. Use the Point Tool to identify the solutions.
Write the Points of Intersections as a list of Ordered Pairs
Draw the resulting graph and plot the points of intersection