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Bellwork Identify the domain and range of the following quadratic functions. 1. 2.
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Quadratic Functions Determine the Domain and Range of a quadratic function Identify parts of the quadratic function and parabola
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Quadratic Function Quadratic Term Linear Term Constant Term
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Parabola The graph of a quadratic equation is a called a parabola
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Vocabulary! Symmetry: When something is symmetrical, it’s opposite sides are mirror images of each other Axis of symmetry: a line through the graph of a parabola that divides the graph into two congruent halves Vertex: The one point where the axis of symmetry will intersect the graph
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Axis of symmetry, vertex, y- intercept, The equation of the axis of symmetry is The x-coordinate of the vertex is The y-intercept is the constant term c in the general form of the quadratic function
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I Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.
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We Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.
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You Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex.
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Bellwork Describe how to find the x-coordinate of the vertex, axis of symmetry and the y intercept of a quadratic function
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I Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,9) Equation of the axis of symmetry: x=3/4 X-coordinate of the vertex: 3/4
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We Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,5) Equation of the axis of symmetry: x=0 X-coordinate of the vertex: 0
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You Do Find the y-intercept, equation of the axis of symmetry, and the x-coordinate of the vertex, then graph. y-intercept: (0,-10) Equation of the axis of symmetry: x=3/2 X-coordinate of the vertex: 3/2
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I Do Consider the function f(x) = –x 2 + 2x + 3. Determine whether the function has a maximum or a minimum value, state the minimum or maximum value.
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We Do Consider the function f(x) = x 2 + 4x – 1. Determine whether the function has a maximum or a minimum value.
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You Do Find all of the information for the above function: y-intercept Equation of the axis of symmetry The vertex Determine if the function will have a maximum or minimum value Find the maximum or minimum value Graph the function Determine the domain and range of the function
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