Name ______________________
Date ________
Algebra I
Unit 9: Day 2 Notes - Solve Quadratic Equations by Graphing
Quadratic equations can have _____, _____ or _____ solutions.
Solutions can also be referred to as: _____________ , ______________, or
_________________
How many solutions do the following have:
__________
__________
__________
1) Write equation in _________________ _________.
2) Press the _____ button on your calculator and enter the equation.
3) Hit the ___________ button.
4) Find the _____ intercepts. These are your __________________ or ________.
Find the solution(s) to the following by graphing.
x 2 - 2x –3 = 0
x 2 + 2x – 8 = 0
-x 2 + 2x = 1
x 2 - 5 = 4x
Find the zeroes of the following. Remember f(x) is the same as y.
f(x) = x 2 + 6x – 7
f(x) = x 2 + x – 6
Not all zeros are __________ __________________.
1) Hit Y = and enter equation in standard form.
2) Hit Graph
3) Hit 2nd Trace then 2 (Zero)
4) Move cursor to left side (left bound) of one of the intercepts and hit enter.
5) Move cursor to right side (right bound) of the same intercept and hit enter.
6) The calculator will say guess? Hit enter one more time.
7) Repeat steps 3 – 6 for the other intercept.
Approximate the zeros of the following to the nearest tenth.
f(x) = x 2 + 4x + 2
f(x) = x 2 - 5x + 3
y = -2x2 + 5x + 3
y = 4x2 – 6x - 8