Wiki Page, ALGEBRA II-A (EXT SERIES) Fall 2025 Ryan & Malan: 10/31 Lesson: Quadratic Applications & Graphing Quadratic Equation Review

Wiki Page
2025-10-30T20:05:01-07:00

Unit 1 Test Corrections are due in Class on Monday, November 3rd * If you need more test correction sheets, they are in available in the bottom section of the metal turn-in bin against the wall. *

The substitute will pass out this packet to help you review graphing and applications for the Quadratic Unit Test, Tuesday November 4th.

Applications and Graphing Practice Worksheets.pdf

*Complete as much of the packet as possible - but AT LEAST THE FIRST PAGE FRONT AND BACK AND ONE EXAMPLE OF EACH GRAPH TYPE: VERTEX, STANDARD, INTERCEPT*

Here are additional learning resources to help you study! Come to class on Monday with questions.

Lesson Goal:

You will be able to apply quadratic functions to projectile motion.

You will be able to apply quadratic functions to other situations. (OPTIONAL)

Apply Quadratic Functions to Projectile Motion

From Physics we know that motion of any object (in a vacuum, so no air resistance) can be modeled by the equation --

where,
is the final height of the object,

is the acceleration of the object,

is the initial velocity of the object,

is the initial height of the object, and

is time.

This equation can be used for modelling path of any object when acting against gravity. Some useful numbers to know are the acceleration due to gravity on Earth is measured to be . So, this equation essentially reduces to --

for many problems that we will be solving.

Here is an example of one such problem where you have to find when does an object land on the ground:

Here is another example where you have to find when does an object reach it's max height and what is the maximum height:

Review of Graphing Quadratic Equations:

Vertex Form:

Graphing Quadratic Functions In Vertex Form

Standard Form:

Graphing Quadratic Functions In Standard Form Using X & Y Intercepts | Algebra

Intercept Form:

How to Graph Quadratic Functions in Intercept Form