Manitoba
11. Analyze quadratic functions of the form y = a(x - p)² + q and determine characteristics of the corresponding graph
TOPIC
MY PROGRESS
Pug Score
0%
Getting Started
"Let's build your foundation!"
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Quiz
Next Steps
Get Started
Get unlimited access to all videos, practice problems, and study tools.
BACK TO MENU
Topic Progress
Pug Score
0%
Getting Started
"Let's build your foundation!"
Videos Watched
0/0
Best Practice
No score
Best Quiz
No attempts
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Quiz
Next Steps
Overview
Transformations of quadratic functions
What You'll Learn
Identify how coefficients and constants transform the parent function y = x²
Apply reflection transformations across the x-axis using negative coefficients
Perform vertical stretches and compressions by multiplying y-values
Execute horizontal and vertical translations by modifying x and y terms
Determine the vertex of a transformed parabola from its equation
Combine multiple transformations to graph complex quadratic functions
What You'll Practice
1
Graphing reflections of parabolas across the x-axis
2
Applying vertical expansions and compressions to quadratic graphs
3
Translating parabolas horizontally and vertically using shifts
4
Combining multiple transformations in a single equation
5
Finding vertex coordinates from transformed quadratic equations
Why This Matters
Transforming quadratic functions is essential for modeling real-world phenomena like projectile motion, profit optimization, and engineering designs. Mastering these transformations gives you the power to quickly sketch and analyze parabolas without plotting dozens of points, a skill you'll use throughout algebra, precalculus, and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Skills
Quadratic Functions
Transformations
Vertex Form
Reflections
Translations
Vertical Stretch
Horizontal Shift
Graphing Parabolas
MB Curriculum Aligned