← Back to Parabolas

Parabolas - Worksheet 4 - 11th Grade

Medium

Read standard-form conic equations to identify centers, vertices, dimensions and curve types.

medium: Practice the same exercise types with a fresh numbered set.

18 problems · 25-30 minutes · Skills: conic sections, parabolas, graphing

About This Worksheet

This medium-level worksheet contains 18 problems designed for 11th Grade students practicing parabolas. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Factor polynomials, use exponent laws and solve equations with domain restrictions.

  • Read standard-form conic equations to identify centers, vertices, dimensions and curve types.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Find the vertex and opening direction of y = 2(x + 1)² + 3.
Solution Steps:
  1. Compare with y = a(x − h)² + k.
  2. A positive a opens upward.
Answer: Vertex (-1, 3); opens upward.
Tip: Check your result using the method in the example before moving to the next question.
1
Find the vertex and opening direction of y = 3(x + 3)² + 2.
2
Find the vertex and opening direction of y = 4(x - 3)² - 5.
3
Find the vertex and opening direction of y = 3(x + 5)² - 2.
4
Find the vertex and opening direction of y = 3(x - 3)² + 1.
5
Find the vertex and opening direction of y = 5(x + 0)² + 2.
6
Find the vertex and opening direction of y = 2(x + 1)² - 2.
7
Find the vertex and opening direction of y = 2(x - 1)² - 3.
8
Find the vertex and opening direction of y = 3(x - 3)² - 5.
9
Find the vertex and opening direction of y = 2(x + 0)² - 5.
10
Find the vertex and opening direction of y = 4(x - 2)² + 2.
11
Find the vertex and opening direction of y = 2(x - 2)² + 2.
12
Find the vertex and opening direction of y = 2(x - 3)² + 1.
13
Find the vertex and opening direction of y = 3(x + 5)² + 0.
14
Find the vertex and opening direction of y = 4(x + 4)² - 4.
15
Find the vertex and opening direction of y = 3(x - 4)² - 5.
16
Find the vertex and opening direction of y = 2(x + 4)² + 2.
17
Find the vertex and opening direction of y = 5(x + 0)² + 5.
18
Find the vertex and opening direction of y = 3(x - 1)² - 4.

Answer Key

1. Vertex (-3, 2); opens upward.2. Vertex (3, -5); opens upward.3. Vertex (-5, -2); opens upward.4. Vertex (3, 1); opens upward.5. Vertex (0, 2); opens upward.6. Vertex (-1, -2); opens upward.7. Vertex (1, -3); opens upward.8. Vertex (3, -5); opens upward.9. Vertex (0, -5); opens upward.10. Vertex (2, 2); opens upward.11. Vertex (2, 2); opens upward.12. Vertex (3, 1); opens upward.13. Vertex (-5, 0); opens upward.14. Vertex (-4, -4); opens upward.15. Vertex (4, -5); opens upward.16. Vertex (-4, 2); opens upward.17. Vertex (0, 5); opens upward.18. Vertex (1, -4); opens upward.

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this parabolas - worksheet 4 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this conic sections worksheet cover?

This worksheet focuses on conic sections, parabolas, graphing. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.