Graphical And Three Symbolic Forms Of A Quadratic Function Worksheet (Page 3 of 4) in pdf

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Graphical and Three Symbolic Forms of a Quadratic Function

Extension 1

Name ___________________________

A model rocket blasts off from a position 2.5 meters above the ground. Its starting velocity is 49 meters per second.

Assume that it travels straight up and that the only force acting on it is the downward pull of gravity. In the metric system,

describes the rocket’s

h t

( )

(

9 8

. )

2 5

the acceleration due to gravity is 9.8 m/sec

. The quadratic function

projectile motion.

h t ( )

a) Graph the function

on your graphing device.

b) How high does the rocket fly before falling back to Earth? When does it reach this point?

c) How much time passes while the rocket is in flight?

d) When is the rocket 50 meters above the ground? Use a calculator table to approximate your answers to the nearest

hundredth of a second

e) Describe how to answer (d) graphically.

f) Write the equation of this quadratic function in vertex form.

Extension 2

a) Write the equation of this parabola in vertex form (assume a = 1).

b) Now, convert the vertex form of the equation into general form.

Show your work.

c) Write the equation in root form.

Graphical And Three Symbolic Forms Of A Quadratic Function Worksheet Page 3