Parts of a Parabola Worksheet
Explore the key features and terminology of parabolas, including vertex, axis of symmetry, focus, and directrix, with this comprehensive Grade 10 math worksheet.
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Parts of a Parabola Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. The is the turning point of a parabola.
2. The line that divides the parabola into two symmetrical halves is called the .
3. A parabola is the set of all points equidistant from a fixed point called the and a fixed line called the .
4. If a parabola opens upwards, its vertex represents the point.
1. Which of the following equations represents a parabola that opens downwards?
y = 2x² + 3x - 1
y = -x² + 5x + 2
x = y² - 4y + 3
x = -2y² + y - 7
2. What is the standard form of a quadratic equation that represents a parabola?
Ax + By = C
y = mx + b
y = ax² + bx + c
(x - h)² + (y - k)² = r²
1. For the parabola given by y = x² - 6x + 5, determine the coordinates of its vertex.
2. Explain the relationship between the 'a' value in y = ax² + bx + c and the direction in which the parabola opens.
Consider the parabola defined by the equation y = x² + 2x - 3.
a) Plot the vertex of the parabola on the graph below.
b) Draw the axis of symmetry.
c) Plot at least two other points on the parabola and sketch the curve.
1. The directrix of a parabola is always parallel to its axis of symmetry.
True
False
2. All parabolas have a single x-intercept.
True
False
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