Knowledge Check Question 7 RE The parabola in the figure below has vertex (0, 0) and focus F (0, 4). Its directrix is the horizontal line that passes through (0, -4). The point R(x, y) is a point on the parabola that is above and to the right of the focus. The point T lies on the directrix, and RT is perpendicular to the directrix. R (r.»), F (0, 4). (0,-4) (a) What are the coordinates for the point T ? (Choose one) ▼ (b) Write the expressions for the distances FR and TR. FR = TR = (c) From the definition of a parabola, which of the following must be true? (Choose one) ▼ (d) Use the above to write an equation for the given parabola solved for x. 2

Knowledge Check Question 7 RE The parabola in the figure below has vertex (0, 0) and focus F (0, 4). Its directrix is the horizontal line that passes through (0, -4). The point R(x, y) is a point on the parabola that is above and to the right of the focus. The point T lies on the directrix, and RT is perpendicular to the directrix. R (r.»), F (0, 4). (0,-4) (a) What are the coordinates for the point T ? (Choose one) ▼ (b) Write the expressions for the distances FR and TR. FR = TR = (c) From the definition of a parabola, which of the following must be true? (Choose one) ▼ (d) Use the above to write an equation for the given parabola solved for x. 2

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section: Chapter Questions

Problem 9PS

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Graphing Parabolas Use a graphing device to graph the parabola. 8y2=x
Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Focus on the positive x-axis, 2 units away from the directrix

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