Graphing a Factorable
Find the zeros for a factorable quadratic function
Find the vertex for the graph of a factorable
Sketch the graph of a factorable quadratic
If you know how fast a ball is thrown (its initial velocity) straight up into the air, you can
ﬁnd its maximum height and predict the number of seconds it will be in the air. If you know
how long it was in the air, you can ﬁnd both its maximum height and its initial velocity.
To analyze such a problem, we use a quadratic function.
Deﬁnitions: Quadratic Function
A function that can be written in the form
is called a quadratic function.
The height of a ball (in feet) thrown up from the ground is determined by the quadratic
in which v
represents the initial velocity and x represents the number of seconds that have
passed since the ball was thrown.
gives us the height, after x seconds, of a ball thrown with an initial velocity of 64 ft/s.