Graphing Quadratic Functions

1
Graphing Quadratic Functions
2
Graphing Quadratic Functions
3
Graphing Quadratic Functions
4
Graphing Quadratic Functions
EXAMPLE
Graph the function
SOLUTION
1) Determine how the parabola opens.
2) Find the vertex. The vertex of the parabola
is at (h, k).
3) Find the x-intercepts.
4) Find the y-intercept.
5) Graph the parabola.
5
Graphing Quadratic Functions
6
Graphing Quadratic Functions
EXAMPLE
Graph the function
SOLUTION
1) Determine how the parabola opens.
2) Find the vertex.
3) Find the x-intercepts.
4) Find the y-intercept.
5) Graph the parabola.
7
Minimums Maximums
8
Minimums Maximums
EXAMPLE
A person standing close to the edge on the top of
a 200-foot building throws a baseball vertically
upward. The quadratic function models the
balls height above the ground, s (t), in feet, t
seconds after it was thrown. When will the ball
reach its highest point? How high is it? How many
seconds does it take until the ball finally hits
the ground? Round to the nearest tenth of a
second.
9
Quadratic Functions Their Graphs
11.3
Reference Blitzers Introductory and
Intermediate Algebra