Characteristics of Parabolas Worksheet
Explore the characteristics of parabolas, including their vertex, axis of symmetry, and direction of opening, through various exercises.
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Characteristics of Parabolas
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Date:
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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.)
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