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Questions and Answers
What is the vertex form equation?
What is the vertex form equation?
y = a(x-h)² + k
What are the steps for using vertex form instructions? (Select all that apply)
What are the steps for using vertex form instructions? (Select all that apply)
What is the intercept form equation?
What is the intercept form equation?
y = a(x-p)(x-q)
What are the steps for using intercept form instructions? (Select all that apply)
What are the steps for using intercept form instructions? (Select all that apply)
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What is the standard form equation?
What is the standard form equation?
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What are the steps for using standard form instructions? (Select all that apply)
What are the steps for using standard form instructions? (Select all that apply)
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Study Notes
Vertex Form
- Equation: ( y = a(x-h)^2 + k ) where (h, k) is the vertex.
- Vertex is found by setting the parentheses ( (x-h) ) equal to zero to find ( h ); ( k ) remains unchanged.
- To find x-intercepts, set ( y = 0 ) and use the square root method.
- Y-intercept is determined by substituting ( x = 0 ) into the equation.
- Utilize the x-value from the vertex to identify additional points on the graph.
Intercept Form
- Equation: ( y = a(x-p)(x-q) ) where p and q are x-intercepts.
- To find x-intercepts, set each factor equal to zero.
- The vertex is calculated by finding the midpoint between p and q, then substituting this x-value back into the equation for the corresponding y-coordinate.
- Y-intercept is found by plugging ( x = 0 ) into the equation.
- The x-value from the vertex can also be used to identify further graph points.
Standard Form
- Equation: ( y = ax^2 + bx + c ).
- Vertex is located at ( \left(-\frac{b}{2a}, y\right) ); y is found by substituting the x-value into the equation.
- Axis of symmetry is represented by the x-value from the vertex.
- X-intercepts are found by setting ( y = 0 ) and solving using factoring or the quadratic formula.
- Y-intercept is obtained by substituting ( x = 0 ) into the equation.
- The x-value from the vertex aids in locating additional points on the graph.
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Description
This quiz covers the vertex and intercept forms of quadratic equations as instructed in Algebra 2 CP. It includes definitions, equations, and step-by-step instructions for solving problems related to these forms. Test your understanding of the concepts and improve your algebra skills.
