Does the parabola y = 3x - 14x+4 have a tangent whose slope is -2? If so, find an equation for the line and the point of tangency. If not, why not? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The parabola has a tangent whose slope is -2. The equation of the tangent line is y= -x-and the point of tangency is (. O B. The parabola does not have a tangent whose slope is -2 because y' does not have the value -2 for any x-value in the domain of the curve. OC. The parabola does not have a tangent whose slope is -2 because the equation of the tangent line does not have the value -2 for any x-value in the domain o O D. The parabola does not have a tangent whose slope is -2 because y does not have the value - 2 for any x-value in the domain of the curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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Does the parabola y = 3x-14x +4 have a tangent whose slope is - 2? If so, find an equation for the line and the point of tangency. If not, why not?
Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
O A. The parabola has a tangent whose slope is -2. The equation of the tangent line is y = -x-and the point of tangency is
O B. The parabola does not have a tangent whose slope is -2 because y' does not have the value -2 for any X-value in the domain of the curve.
O C. The parabola does not have a tangent whose slope is -2 because the equation of the tangent line does not have the value -2 for any x-value in the domain o
O D. The parabola does not have a tangent whose slope is -2 because y does not have the value -2 for any X-value in the domain of the curve.
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Transcribed Image Text:Does the parabola y = 3x-14x +4 have a tangent whose slope is - 2? If so, find an equation for the line and the point of tangency. If not, why not? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The parabola has a tangent whose slope is -2. The equation of the tangent line is y = -x-and the point of tangency is O B. The parabola does not have a tangent whose slope is -2 because y' does not have the value -2 for any X-value in the domain of the curve. O C. The parabola does not have a tangent whose slope is -2 because the equation of the tangent line does not have the value -2 for any x-value in the domain o O D. The parabola does not have a tangent whose slope is -2 because y does not have the value -2 for any X-value in the domain of the curve. Textbook Ask My Instructor Print
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