Graphing A Factorable Quadratic Function Worksheet With Answer Key printable pdf download

Graphing A Factorable Quadratic Function Worksheet With Answer Key

Graphing a Factorable

9.1

Quadratic Function

OBJECTIVES

9.1

Find the zeros for a factorable quadratic function

Find the vertex for the graph of a factorable

quadratic function

Sketch the graph of a factorable quadratic

function

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

f(x)

c, a

is called a quadratic function.

The height of a ball (in feet) thrown up from the ground is determined by the quadratic

function

h(x)

16x

in which v

represents the initial velocity and x represents the number of seconds that have

passed since the ball was thrown.

The function

h(x)

16x

64x

gives us the height, after x seconds, of a ball thrown with an initial velocity of 64 ft/s.

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Graphing A Factorable Quadratic Function Worksheet With Answer Key