Name: ____________________________
Date: ________________
Mrs. Shafi
EXAMPLE ONE  Graph the following lines and label the x and y – intercepts.
1) y
 x

3
2) y
 x

2
3) y
 x

1



 y



 y



 y
    x
     x
     x
    




   




   



 x – int: ______ x – int: ______ x – int: ______ y – int: ______ y – int: ______ y – int: ______
y
 x 2 y

Properties of the graph of y
 x
2
:





   
 x
    
1.
Has a vertex point at _______
2.
Symmetrical about the line ______
3.
(axis of symmetry)
4.
Has a x – intercept of _______
5.
Has a y – intercept of _______
6.
Has a minimum value of ______

Parabolas can have…
2 x – intercepts: y x
1 x – intercept y x no x - intercept y x
EXAMPLE TWO  Use the graph of the function below to find the x and y intercepts of the quadratic. Label the vertex point.
1) y
  x

3
 x

2
 2) y
  x

1

2 3) y
   x

1
 x

3
 x – int: ___________ y – int: ______ x – int: ___________ y – int: ______ x – int: ___________ y – int: ______

EXAMPLE THREE  Graph the quadratic function using the calculator and record the points on the graph below: y
 x
2 
4 x

1
1. Press Y=
2. type the equation exactly how
it looks on the paper
3. Press GRAPH to see the picture
of the graph
4. Press 2 ND  GRAPH and plot
points from the table of values.
  



 y


   x
EXAMPLE FOUR  Graph the quadratic function. Label the x and y intercepts.
1. Graph the function in your calculator
(see above) and look at the graph y
  x
2 
2 x

8
2. Press 2 ND  TRACE (CALC)
3. Choose 2: zero
x – int: ___________
y – int: ______
4. use the left arrow to scroll to the left of one zero, press ENTER.
5. Use the right arrow to scroll to the right of the same zero, press ENTER.
6. Press Enter again, the calculator should tell you the zero/x-intercept at the bottom of the screen

EXAMPLE FIVE  Graph the quadratic function. Label the vertex point.
1. Graph the function in your calculator (see above) and look at the graph
2. Press 2 ND  TRACE (CALC) vertex: _____________
3. Choose 3: minimum or 4: maximum depending on the graph y
  x

1
 x

5

axis of symmetry: ______
4. use the left arrow to scroll to the left of one zero, press ENTER.
5. Use the right arrow to scroll to the right of the same zero, press ENTER.
6. Press Enter again, the calculator should tell you the zero/x-intercept at the bottom of the screen