TOPIC # 6 – 3: Solving Quadratic Equations on the
Calculator
1. Solve by factoring: x2 + 5x – 6 = 0
Solutions_______
2. Find the x-intercepts of the graph using your calculator.
A) Find the button
Y=
clear out anything there.
B) Into y1 =________________
Into y2 = 0 (equation of the x-axis)
C) GRAPH
D)
E)
F)
G)
2nd
CALC (above
TRACE )
Choose intersect
Move the cursor to an x-intercept
ENTER
ENTER
ENTER
H) Repeat steps D – G to find the other x-intercept.
x-intercepts:_______________
Compare the x-intercepts to the solutions. What can you
conclude?
Graph the quadratic equation and find the x-intercepts,
solutions, factors, vertex, and the y-values for the given
x-values. Then sketch the graph and find the axis of
symmetry.
3. y = x2 – 8x + 15
x-intercepts:______________
solutions:________________
factors:__________________
vertex:_________
axis of symmetry:______
x
1
8
Solve each quadratic equation on the calculator.
4. 9x² + 12x – 1 = 0
5. 7x² + 2x = 2
6. 6x² + 7 = -9x
7. 4x² = 10x - 5
8. Find the vertex of y = -2x² - 4x – 7 ALGEBRAICALLY!
What is the axis of symmetry? (YOU MUST SHOW WORK)
y