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
- Why Teaching Math At Home Is Beneficial For Your Kids?
- CLEP College Mathematics Worksheets: FREE & Printable
- 10 Most Common Pre-Algebra Math Questions
- 8th Grade Common Core Math Practice Test Questions
- 8th Grade ACT Aspire Math Practice Test Questions
- How to Understand Vectors: Vectors in Two Dimensions
- Top 10 Tips to Create a TASC Math Study Plan
- How to Find the Equation of a Regression Line and Interpret Regression Lines
- FREE 5th Grade ACT Aspire Math Practice Test
- How to Determine a Function Using the Vertical Line Test?
What people say about "How to Transform Quadratic Equations? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.