Parabolas
In the following problems, select from these expressions to match the given definition, and then state the letter of the correct answer.
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| In the following problems, find the standard form of each parabola. Select the standard form from these expressions, and then state the letter of the correct answer. |
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Use the parabola, y = –4(x – 2)2 + 3 to answer the following questions.
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Use the parabola, 2x = y2 + 10y + 32 to answer the following questions.
Hint: Complete the square using the y terms. Solve the equation for x.
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| 15) Write the standard equation of the parabola with the given characteristics.
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| 16) Write the standard equation of the parabola with the given characteristics.
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Ellipses
In the following problems, write the standard equation for each ellipse.
Hint: The length of the major and minor axes are 2a and 2b. The length of the major axis is the larger number of 2a or 2b.
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| 17) Write the standard equation for the ellipse.
Hint: Divide each term by 12.
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| 18) Write the standard equation for the ellipse.
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| 19) Write the standard equation for the ellipse.
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In the following problems, write the standard equation for the ellipse with the given characteristics.
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| 20) Write the standard equation for the ellipse with the given characteristics.
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| 21) Write the standard equation for the ellipse with the given characteristics.
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| In the following problems, write the standard equation for each ellipse. Select the equation from the choices below and state the letter of the correct answer.
Hint: Complete the squares of the x terms and the y terms. |
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Review
Use the equation –2x2 – 5x + 12 = 0 to answer the following questions.
Click here to review the unit content explanation for Complex Numbers.
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| 34) Extended Learning
Watch the following video, then write a five-sentence paragraph summarizing the video.
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20000 character(s) left
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| 35) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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