Don't Stop Learning Now!
Gain access to 3,500 HD videos.
Find Study Help
Watch All Videos FREE for 1 Week
No credit card required.TRY 1 WEEK FREE
Graphing Quadratic Equations - Problem 4
If your parabolic function is in vertex form, y = a(x - h)^2 + k, and if you have practiced graphing with changes to a, h, and k each individually, then you are ready to put all of the transformations together. Begin with a sketch of the parent parabola, y = x^2. A negative "a" will make the parabola open down, if the absolute value of "a" is greater than one, then the parabola will get skinnier, and if the absolute value of "a" is a number between 0 and 1, then the parabola will get wider. A change on "h" represents a horizontal shift in the counter-intuitive direction, and a change on "k" is a vertical shift.
Transcript Coming Soon!
Sample Problems (11)
Need help with a problem?
Watch expert teachers solve similar problems.
- Exploring Quadratic Graphs 22,514 views
- Vertical and Horizontal Shifts of Quadratic Graphs 13,512 views
- Dilations of Quadratic Graphs 15,379 views
- Vocabulary of Quadratic Polynomials 13,828 views
- Solving Quadratic Equations by Factoring 43,546 views
- Solving Quadratic Equations Using Square Roots 33,315 views
- Completing the Square 27,901 views
- The Quadratic Formula 25,543 views
- The Discriminant 11,704 views
- The Vertex and Axis of Symmetry 14,133 views
- Applications of Quadratic Equations 15,095 views