Graphing Parabolas Worksheet
A Grade 12 math worksheet on graphing parabolas, covering standard form, vertex form, and intercepts.
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Graphing Parabolas
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Read each question carefully and follow the instructions to graph the parabolas and determine their properties.
1. For the parabola given by the equation y = 2(x - 3)² + 1, identify the vertex, axis of symmetry, and direction of opening.
2. Graph the parabola defined by y = x² - 4x + 3. Label the vertex and x-intercepts.
3. The standard form of a quadratic equation is y = ax² + bx + c. The vertex of the parabola can be found using the formula x = and y = .
4. Which of the following equations represents a parabola that opens downwards?
y = 3x² + 2x - 1
y = -x² + 5x + 4
y = (x - 2)² + 3
y = 0.5x² - 6
5. Determine the x-intercepts and y-intercept of the parabola y = x² + 2x - 8.
6. The axis of symmetry for the parabola y = a(x - h)² + k is x = k.
True
False
7. Sketch the parabola y = -(x + 1)² + 4. Show the vertex, axis of symmetry, and two other points.