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Graphing Parabolas Worksheet

Explore graphing quadratic functions, identifying key features like vertex, axis of symmetry, and intercepts for grade 8 students.

Grade 8 Math AlgebraGraphing Parabolas
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Includes

2 Short AnswerGraphMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSF.IF.C.7.A

Topics

mathalgebraparabolasgraphingquadratic functionsgrade 8
8 sections · Free to use · Printable
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Graphing Parabolas

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Read each question carefully and follow the instructions to graph parabolas and identify their key features. Show all your work.

1. For the quadratic function y = x² - 4x + 3, find the following:

a) Vertex:

 

b) Axis of Symmetry:

 

c) y-intercept:

 

2. What is the direction of opening for the parabola y = -2x² + 8x - 5? Explain your reasoning.

3. Graph the parabola y = x² + 2x - 3 on the coordinate plane below. Label the vertex and axis of symmetry.

-5-4-3-2-112345-5-4-3-2-112345

4. Which of the following quadratic equations has a vertex at (1, -4)?

a

y = (x - 1)² + 4

b

y = (x + 1)² - 4

c

y = (x - 1)² - 4

d

y = (x + 1)² + 4

5. The graph of a quadratic function is called a  .

6. The   is the vertical line that divides the parabola into two symmetrical halves.

7. If the leading coefficient 'a' in y = ax² + bx + c is positive, the parabola opens  .

8. The vertex of a parabola is always its highest or lowest point.

T

True

F

False

9. A parabola can have more than two x-intercepts.

T

True

F

False

10. The path of a projectile can be modeled by the equation h(t) = -16t² + 64t, where h is the height in feet and t is the time in seconds. What is the maximum height the projectile reaches?