Graphing Parabolas Worksheet
Practice graphing parabolas by identifying key features such as the vertex, axis of symmetry, and intercepts.
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Standards
Graphing Parabolas
Name:
Date:
Score:
Follow the instructions for each section. Show all your work for graphing problems.
1. The graph of a quadratic equation is called a .
2. The highest or lowest point on a parabola is called the .
3. The vertical line that divides a parabola into two symmetric halves is the .
4. The points where the parabola crosses the x-axis are called the .
For the quadratic function y = x² - 4x + 3:
5. Find the coordinates of the vertex.
6. Write the equation of the axis of symmetry.
7. Find the y-intercept.
8. Graph the parabola for the equation y = x² - 2x - 3. Identify the vertex, axis of symmetry, and x-intercepts.
Vertex:
Axis of Symmetry:
x-intercepts:
y-intercept:
9. Which of the following equations represents a parabola that opens downwards?
y = 2x² + 3x - 1
y = -x² + 5x + 2
y = (x - 4)²
y = 0.5x² - x + 7