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Questions and Answers
What is the quadratic formula written in vertex form?
What is the quadratic formula written in vertex form?
y = a(x-h)² + k
In the quadratic formula in vertex form y = a(x-h)² + k, what does 'a' represent?
In the quadratic formula in vertex form y = a(x-h)² + k, what does 'a' represent?
the slope to the point one unit from the vertex
Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the vertex?
Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the vertex?
(h, k)
In the quadratic formula in vertex form y = a(x-h)² + k, what does 'h' represent?
In the quadratic formula in vertex form y = a(x-h)² + k, what does 'h' represent?
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In the quadratic formula in vertex form y = a(x-h)² + k, what do 'h' and 'k' represent?
In the quadratic formula in vertex form y = a(x-h)² + k, what do 'h' and 'k' represent?
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Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the axis of symmetry?
Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the axis of symmetry?
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Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the slope to a point one unit from the vertex?
Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the slope to a point one unit from the vertex?
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Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the y-intercept?
Given the quadratic formula in vertex form y = a(x-h)² + k, how do you find the y-intercept?
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What is the quadratic formula written in standard form?
What is the quadratic formula written in standard form?
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Given the quadratic formula in vertex form, if 'a' is positive, is the vertex a maximum or minimum?
Given the quadratic formula in vertex form, if 'a' is positive, is the vertex a maximum or minimum?
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Given the quadratic formula in vertex form, if 'a' is negative, is the vertex a maximum or minimum?
Given the quadratic formula in vertex form, if 'a' is negative, is the vertex a maximum or minimum?
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Given the quadratic formula in vertex form y = a(x-h)² + k, what information do you need to find in order to graph the parabola?
Given the quadratic formula in vertex form y = a(x-h)² + k, what information do you need to find in order to graph the parabola?
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Study Notes
Quadratic Formula in Vertex Form
- The quadratic formula in vertex form is expressed as y = a(x-h)² + k.
Components of the Vertex Form
- "a" indicates the slope to the point one unit from the vertex, determining the width and direction of the parabola.
- "h" represents the x-coordinate of the vertex and defines the axis of symmetry of the parabola.
- "k" denotes the y-coordinate of the vertex, providing the vertical position of the parabola's turning point.
Vertex
- The vertex of the parabola can be found at the coordinates (h, k).
Axis of Symmetry
- The axis of symmetry is located at h, which is a vertical line that divides the parabola into two mirror-image halves.
Slope and Points
- To find the slope to a point one unit from the vertex, use the value of a.
Y-Intercept Calculation
- The y-intercept can be determined by substituting 0 for x in the vertex form equation and solving for y.
Standard Form Comparison
- The standard form of a quadratic equation is represented as y = ax² + bx + c.
Min/Max Characteristics
- If a is positive, the vertex indicates a minimum point on the graph.
- If a is negative, the vertex indicates a maximum point on the graph.
Graphing Information
- To accurately graph a parabola in vertex form, identify the following:
- Axis of symmetry
- Vertex
- Slope to a point one unit from the vertex
- Y-intercept
Studying That Suits You
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Description
Test your knowledge on graphing parabolas in vertex form with this flashcard quiz. Learn about key concepts such as the quadratic formula, the significance of 'a', and how to find the vertex of a parabola. Perfect for Algebra 2 students looking to reinforce their understanding.
