a. Graph the function f(x) = x2 - 8x + 12. b. Identify the point (a,f(a)) at which the function has a tangent line with zero slope. c. Confirm your answer to part (b) by making a table of slopes of secant lines to approximate the slope of the tangent line at this point. a. Choose the correct graph below. Each curve is graphed in a [- 10,10,1] by [- 10,10,1] window. O A. O B. OC. Q

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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a. Graph the function f(x) = x2 - 8x + 12.
b. Identify the point (a,f(a)) at which the function has a tangent line with zero slope.
c. Confirm your answer to part (b) by making a table of slopes of secant lines to approximate the slope of the tangent line at this point.
a. Choose the correct graph below. Each curve is graphed in a [- 10,10,1] by [- 10,10,1] window.
O A.
O B.
OC.
D.
Q
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Transcribed Image Text:a. Graph the function f(x) = x2 - 8x + 12. b. Identify the point (a,f(a)) at which the function has a tangent line with zero slope. c. Confirm your answer to part (b) by making a table of slopes of secant lines to approximate the slope of the tangent line at this point. a. Choose the correct graph below. Each curve is graphed in a [- 10,10,1] by [- 10,10,1] window. O A. O B. OC. D. Q Click to select your answer and then click Check Answer. 7 parts remaining Check Answer Clear All of
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