<meta http-equiv="refresh" content="1; url=/nojavascript/"> Transformations of Quadratic Functions ( Study Aids ) | Algebra | CK-12 Foundation
Dismiss
Skip Navigation

Transformations of Quadratic Functions

%
Progress
Practice Transformations of Quadratic Functions
Practice
Progress
%
Practice Now
Transformations and Vertex Form of Quadratic Functions

Feel free to modify and personalize this study guide by clicking “Customize.”

Vocabulary

Word Definitiom
_________________ shifting left and right; change in the x-coordinate
Transformation _____________________________________________________________
Vertical Reflection _____________________________________________________________
Vertical Stretch _____________________________________________________________
_________________ shifting up and down; change in the y-coordinate

Transformations

What is the equation of the parent graph of quadratic functions? ____________________

To change the appearance of this graph, you use transformations. Transformations strech, compress, shift, or reflect the graph. 

.

For the following graphs, describe the transformations of y=x^2.

   

Click here for answers.

.

Vertex Form

Vertex form of a parabola is:   y=a(x-h)^2+k

Describe what each variable does:

  • a: __________________________________________
  • h__________________________________________
  • k__________________________________________

What happens if a is negative? __________________________________________

.

Graph the following quadratic functions and identify the transformations.

  1. y=-2(x+3)^2+7
  2. y=-\frac{1}{2}(x+6)^2+9
  3. y=\frac{1}{3}(x-4)^2

Click here for answers.

Image Attributions

Explore More

Sign in to explore more, including practice questions and solutions for Use Vertex Form of Quadratics.

Reviews

Please wait...
Please wait...

Original text