How to shift a parabola to the right?
Understand the Problem
The question is asking how to shift a parabola to the right on a graph, which typically involves adjusting the mathematical equation of the parabola. This usually involves modifying the variable in the equation by subtracting a constant from it.
Answer
Use a negative 'h' value in y = (x - h)^2 + k.
To shift a parabola to the right, use a negative value for 'h' in the vertex form y = (x - h)^2 + k.
Answer for screen readers
To shift a parabola to the right, use a negative value for 'h' in the vertex form y = (x - h)^2 + k.
More Information
Shifting the parabola horizontally involves changing the 'h' term in the vertex form of the parabola. A negative 'h' shifts it to the right, while a positive 'h' shifts it to the left.
Tips
A common mistake is mixing up the signs. Remember that a negative sign in the equation y = (x - h)^2 + k moves the parabola to the right.
Sources
- Transformations of parabolic functions - Varsity Tutors - varsitytutors.com
- Shifting parabolas - Khan Academy - khanacademy.org
- Content - Transformations of the parabola - amsi.org.au