Have you ever looked at the equationcand wondered what the values of a, h, and k actually do?
In this video, we’ll start with the parent function and explore how each parameter changes the graph. You’ll learn how to recognize vertical stretches and compressions, horizontal shifts, and vertical shifts without memorizing complicated rules.
In this lesson you’ll learn:
• The parent function
• What the value of a does to a graph
• How h shifts a graph left and right
• How k shifts a graph up and down
• How to identify transformations from an equation
• How to graph transformed quadratics quickly
• Common mistakes students make with transformations
By the end of this lesson, you’ll be able to look at a function and immediately predict how its graph will change.
Whether you’re taking Algebra 1, Algebra 2, College Algebra, or preparing for the ACT, understanding transformations is one of the most important graphing skills in mathematics.