How to Transform Quadratic Equations?
If \(k>0\), the graph shifts upwards by \(k\) units:
Transformation of Quadratic Equations – Example 1:
Graph the function \(y=2x^2-5\).
Solution:
If we start with \(y=x^2\) and multiply the right side by \(2\), it stretches the graph vertically by a factor of \(2\).
Then if we subtract \(5\) from the right side of the equation, it shifts the graph down \(5\) units.
Exercises for Transformation of Quadratic Equations
Sketch the graph of each function.
- \(\color{blue}{y=-\frac{1}{2}\left(x-3\right)^2+3}\)
- \(\color{blue}{y=\left(x+2\right)^2-5}\)
- \(\color{blue}{y=-\frac{1}{2}\left(x-3\right)^2+3}\)
- \(\color{blue}{y=\left(x+2\right)^2-5}\)
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Related to This Article
More math articles
- Top 10 3rd Grade NYSE Math Practice Questions
- How to Solve Angles and Angle Measure? (+FREE Worksheet!)
- Top Calculator for the PSAT 10 Math Test: Quick Review
- How to Convert, Compare, Add, and Subtract Mixed Customary Units?
- The Fundamental Theorem of Algebra
- What to Consider When Retaking the ACT or SAT
- How to Find x- and y-intercepts in the Standard Form of Equation?
- SSAT Upper-Level Math Worksheets: FREE & Printable
- 8th Grade TCAP Math Worksheets: FREE & Printable
- The Ultimate FTCE General Knowledge Math Course (+FREE Worksheets & Tests)
What people say about "How to Transform Quadratic Equations? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.