View
220
Download
3
Category
Tags:
Preview:
Citation preview
7-1 re
view
Miss b
atta
glia –
algeb
ra 1
CP
Object
ive: G
raph q
uadra
tic fu
nctio
ns of t
he fo
rm y
=ax^2
Warm up
What are some real life examples of parabolas? (Ex: smile, mountain)
Quadratic functions
The graphs from the warm up are all parabolas. If you draw a parabola on a piece of paper, you can fold the paper down the middle of the parabola and the two sides will match exactly. The line down the middle of the parabola is the axis of symmetry.
Draw the axis of symmetry
Quadratic function
example
Name the values of a, b, and c for each quadratic equation.
a. y = 2x + 4x2 + 10 b. y = 2 + x2
Write each quadratic function in standard form.
a.y = 2x2 + 6x b. y = -3 + 2x2 + x
Make a table of values & graph the quadratic functions
x y = 3x2 y = - 4x2
-3
-2
-1
0
1
2
3
y = 3x2 and y = - 4x2
The highest or lowest point on a parabola is called the vertex of the parabola.
When a parabola opens upward, the y-coordinate
of the vertex is the minimum value of the
function.
When a parabola opens downward, the y-
coordinate of the vertex is the maximum value of
the function.
example
Answer these questions for y = -2x2 and y = 8x2
a.What is the value of a?
b.In which direction does each graph open?
a.Is the y-coordinate of the vertex a minimum or a maximum value of the function?
Use a graphing calculator
example
Order each group of quadratic functions from widest to narrowest graph.
y = x2, y = x2, y = x2
classwork
homework
Recommended