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On a separate piece of paper, sketch the graph of the parabola y = x² + 9. On the same graph, plot the point (0, -6). Note that there are two tangent lines of y = x² +9 that pass through the point (0, –6). Specifically, the tangent line of the parabola y = x² +9 at the point (a, a² + 9) passes through the point (0, –6) where a > 0. The other tangent line that passes through the point (0, –6) occurs at the point (-а, a? + 9). Find the number a.

On a separate piece of paper, sketch the graph of the parabola y = x² + 9. On the same graph, plot the point (0, -6). Note that there are two tangent lines of y = x² +9 that pass through the point (0, –6). Specifically, the tangent line of the parabola y = x² +9 at the point (a, a² + 9) passes through the point (0, –6) where a > 0. The other tangent line that passes through the point (0, –6) occurs at the point (-а, a? + 9). Find the number a.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 32E: There are two points on the x-axis that are located a distance of 6 units from the points 3,1....
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On a separate piece of paper, sketch the graph of the parabola y = x² + 9. On the same graph, plot the point (0, -6). Note that there are two tangent lines of y = x² +9 that pass through the point (0, –6). Specifically, the tangent line of the parabola y = x² +9 at the point (a, a' + 9) passes through the point (0, –6) where a > 0. The other tangent line that passes through the point (0, –6) occurs at the point (-a, a? +9). Find the number a.
Transcribed Image Text:On a separate piece of paper, sketch the graph of the parabola y = x² + 9. On the same graph, plot the point (0, -6). Note that there are two tangent lines of y = x² +9 that pass through the point (0, –6). Specifically, the tangent line of the parabola y = x² +9 at the point (a, a' + 9) passes through the point (0, –6) where a > 0. The other tangent line that passes through the point (0, –6) occurs at the point (-a, a? +9). Find the number a.
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