10.1 – Graphing Quadratic Functions
Quadratic Function:
y  ax 2  bx  c
Graph the equation y = _______________________
Sketch what the graph looks like:
Analyze the equation and compare it to the graph. Write down any observations here:
Graph the following two functions:
y  x 2  3x  4
y   x 2  3x  4
What is different about the two equations? What is different about the two graphs?
Identify the vertex of each graph and tell whether it is a maximum or a minimum:
Without graphing tell whether each equation would open upward or downward and if the vertex is a maximum
or minimum:
y  x 2  3x
1
y   x 2  3x  4
2
y  3x 2  4
y  6x 2  2x  8
Make a table of values and graph the follow equations by plotting individual points:
x
0
1
2
y
y  2x 2
y  x2
y  x2
(x, y)
Sketch and label the three graphs you made and describe what is happening to them:
Order the quadratic functions y  x 2 , y  4x 2 , and y 
Homework #35
Pg 553 #1 – 3, 7, 9 – 13, 21 – 30
1 2
x from widest to narrowest:
4
1 2
x
2
x
0
1
2
y  2x 2
(x, y)
x
y
1 2
x
2
(x, y)
0
2
4