Graphing Parabolas Worksheet
Explore graphing quadratic functions, identifying key features like vertex, axis of symmetry, and intercepts for grade 8 students.
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Standards
Topics
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.
4. Which of the following quadratic equations has a vertex at (1, -4)?
y = (x - 1)² + 4
y = (x + 1)² - 4
y = (x - 1)² - 4
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.
True
False
9. A parabola can have more than two x-intercepts.
True
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?
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