Math9-12+
Transforming Parabolas Investigation
By Orlando F.
This 1-page investigation guides 9th graders in exploring the effects of parameters a, h, and k on the graph of a quadratic function in vertex form, y=a(x-h)^2 + k. Students will use a graphing tool to understand translations, stretches, compressions, and reflections, while also identifying key points related to the parameters.
Customize for your classroom
Teacher Guide & Tips
- Use this activity as a 45-minute introduction to transforming parabolas or as a review.
- Discussion question: How does the sign of 'a' affect the parabola's orientation, and what does this tell us about reflections?
- Scaffold for struggling students: Provide a partially completed table of values for specific parameter changes to help them see the patterns.
- Extension for advanced students: Ask students to investigate the effect of changing the parameter 'a' on the vertical stretch/compression and compare it to the effect of changing 'a' on horizontal stretch/compression (if applicable in a different form).
- Estimated time: 45 minutes.
Math9-12+
Transforming Parabolas Investigation
By Orlando F.
This 1-page investigation guides 9th graders in exploring the effects of parameters a, h, and k on the graph of a quadratic function in vertex form, y=a(x-h)^2 + k. Students will use a graphing tool to understand translations, stretches, compressions, and reflections, while also identifying key points related to the parameters.
Customize for your classroom
Teacher Guide & Tips
- Use this activity as a 45-minute introduction to transforming parabolas or as a review.
- Discussion question: How does the sign of 'a' affect the parabola's orientation, and what does this tell us about reflections?
- Scaffold for struggling students: Provide a partially completed table of values for specific parameter changes to help them see the patterns.
- Extension for advanced students: Ask students to investigate the effect of changing the parameter 'a' on the vertical stretch/compression and compare it to the effect of changing 'a' on horizontal stretch/compression (if applicable in a different form).
- Estimated time: 45 minutes.