January 13, 2014
AA
6-6 Analyzing Graphs of
Quadratic Functions
Vertex Form:
* An alternate way to write a quadratic
equation.
* Helps identify the vertex of the parabola.
* y = (x - h)2 + k, (h, k) is the vertex, axis of
symmetry is x = h.
As the value of h and k change, the graph
gets shifted.
|h| units left if h is negative,
|h| units right if h is positive.
|k| units down if k is negative,
|k| units up if k is positive.
Completing the square will help in writing the
equation in vertex form.
January 13, 2014
The shape of the graph will depend on the a
value.
If a > 0, opens up
If a < 0, opens down
If |a| >1, graph is narrower than the graph of
y = x2.
If |a| <1, graph is wider than the graph of
y = x2.
page 323 has examples.
1. Analyze y = (x - 3)2 + 2, then draw the
graph.
January 13, 2014
2
2. Write y = x + 2x + 4 in vertex form, then
analyze the function.
3. Write y = -2x2 - 4x + 2 in vertex form, then
analyze the function.
January 13, 2014
4. Write an equation for the parabola whose
vertex is at (1, 2) and passes through
(3, 4).
Lesson 6 - 6
Analyzing Graph of Quadratic Functions
pg. 325 - 328
#4, 6, 14, 16, 20, 22, 28, 30, 39, 40,
48 - 50, 51, 52, 56, 58, 60, 64, 68
(20 problems)