1. When you solve a quadratic equation, you are finding the _______________________ of the graph.
2. Solve this equation by graphing on your calculator: y  x 2  7 x  10
First x-intercept: ____________
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
3.
Second x-intercept: ____________
Step 1: Clear your screen
Step 2: Hit the ‘Y=’ button
Step 3: Enter your equation into the first spot
Step 4: Hit the ‘GRAPH’ button
Step 5: Hit ‘2ND’ ‘CALC’
Step 6: Choose the ‘zero’ option (option 2 on most calculators)
Step 7: Your screen should say “Left Bound?” Pick one of your x-intercepts. Move the cursor so
that it is to the left of the x-intercept. Hit ‘ENTER’
Step 8: Your screen should say “Right Bound?” Move the cursor so that it is to the right of the
same x-intercept from step 6. Hit ‘ENTER’
Step 9: Your screen should say “Guess?” Don’t change anything; just hit ‘ENTER’. This should
give you the value for your first x-intercept!!
Step 10: Hit ‘2ND’ ‘CALC’ again.
Step 11: Choose the ‘zero’ option
Step 12: Repeat steps 7 – 9 for your second x-intercept
y  3x 2  2 x  8
a. Without graphing it, tell me: does this graph open up or down?
b. Is the vertex of this graph a maximum or a minimum value?
c. Solve this equation using your graphing calculator:
First x-intercept: __________________
Second x-intercept: _______________
4. y  4 x 2  16
a. Without graphing it, tell me: does this graph open up or down?
b. Is the vertex of this graph a maximum or a minimum value?
c. Solve this equation using your graphing calculator.
First x-intercept: ___________________
5. Solve the following quadratic equations algebraically:
a. y  4 x 2  16
b. y  ( x  3) 2  16
Second x-intercept: ________________
c. 20  ( x  4) 2  5