Characteristics of Parabolas Worksheet

Explore the characteristics of parabolas, including their vertex, axis of symmetry, and direction of opening, through various exercises.

Grade 7 Math AlgebraCharacteristics of Parabolas

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Includes

Multiple ChoiceFill in the BlanksTrue / FalseShort AnswerCustom

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSF.IF.C.7.A

Topics

parabolasquadratic equationsalgebragrade 7 math

7 sections · Free to use · Printable

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Characteristics of Parabolas

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Read each question carefully and provide the best answer. Show all your work for full credit.

1. What is the shape of the graph of a quadratic equation?

Straight line

Circle

Parabola

Ellipse

2. For the equation y = ax² + bx + c, if 'a' is positive, the parabola opens:

Upwards

Downwards

Sideways

It depends on 'b'

3. The turning point of a parabola is called the .

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

5. A parabola can open left or right.

True

False

6. The y-intercept of a parabola y = ax² + bx + c is always 'c'.

True

False

7. Describe how the value of 'a' in y = ax² + bx + c affects the width of the parabola.

8. Plot the vertex and axis of symmetry for the parabola represented by the equation y = x² - 4x + 3. (You don't need to draw the full curve, just the vertex and axis.)