Exam 6: Factoring and Quadratic Equations

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Estimate the x- and y-intercepts from the graph. Estimate the x- and y-intercepts from the graph.

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Use the table below to find Use the table below to find

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Use the graph to estimate the vertex and determine whether it is a maximum or minimum point. Use the graph to estimate the vertex and determine whether it is a maximum or minimum point.

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The loudness The loudness   of a sound (measured in decibels dB) is inversely proportional to the square of the distance   from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality. of a sound (measured in decibels dB) is inversely proportional to the square of the distance The loudness   of a sound (measured in decibels dB) is inversely proportional to the square of the distance   from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality. from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.

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Match each trinomial with its factored form.
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Graph the equation using symmetry. Label the vertex and the x- and y-intercepts. Graph the equation using symmetry. Label the vertex and the x- and y-intercepts.    Graph the equation using symmetry. Label the vertex and the x- and y-intercepts.

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For the polynomial expression factor out the GCF. For the polynomial expression factor out the GCF.

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Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime. Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime.

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Find the vertex of the given equation and determine whether it is a maximum or minimum point. Find the vertex of the given equation and determine whether it is a maximum or minimum point.

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Find the x -intercept(s) of Find the x -intercept(s) of   . .

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The graph of The graph of   is similar to the graph of   . is similar to the graph of The graph of   is similar to the graph of   . .

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If If   and   find   . and If   and   find   . find If   and   find   . .

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Solve the equation by using the zero-product property. Solve the equation by using the zero-product property.

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The area of a circle with radius The area of a circle with radius   is given by the power function   . What happens to the area of the circle when the radius is multiplied by 3? is given by the power function The area of a circle with radius   is given by the power function   . What happens to the area of the circle when the radius is multiplied by 3? . What happens to the area of the circle when the radius is multiplied by 3?

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For the polynomial expression factor out the GCF. For the polynomial expression factor out the GCF.

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To find the y-intercept of a quadratic equation set x equal to zero and solve the equation.

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Use the graph to estimate the vertex and determine whether it is a maximum or minimum point. Use the graph to estimate the vertex and determine whether it is a maximum or minimum point.

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To find the x-intercepts of a quadratic equation set x equal to zero and solve the equation.

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Every quadratic equation has a y-intercept.

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Factor the polynomial expression completely. Factor the polynomial expression completely.

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