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--S O HW 2.3 power and sum × e chegg study I Guided Solut + v https://smccd.inst

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Question

--S O HW 2.3 power and sum × e chegg study I Guided Solut + v https://smccd.instructure.com/courses/14464/assignments/156921 Announcements Assignments Discussions Grades People Pages Files Syllabus Quizzes Modules Conferences Collaborations MH Campus Messages Redeem LatePass Questions If f(x) = 4z2-5x + 7, find f' (-2) Preview Account Use this to find the equation of the tangent line to the parabola 4z2-5z + 7 at the point (-2, 33). The equation of this tangent mb y line can be written in the form y where m 1S and where b is Preview Dashboard C Q7 (0/1) C Q8 (0/1) Preview Courses Get help: Video Q 10 [1/1] C Q 11 (0.3/1) Q12 (0/1) Q 13 (0/1) Q 14 (0/1) Q 15 (0/1) Q 16 (0/1) Q 17 (0/1) License Points possible: 1 Unlimited attempts Score on last attempt: (0, 0, 0), Score in gradebook: (0, 0, 0), Out of: (0.33, 0.33, 0.34) Message instructor about this question Calendar Inbox C Q 18 (0/1) Submit Q 19 [1/1] Course Chat 12:24 PM O Type here to search

Explanation / Answer

y = 4x2 - 5x + 7

f'(x) = dy/dx = 8x - 5

f'(-2) = 8 *( -2) - 5 = -16 -5 = -21

Equation of tangent is

(y - 33 ) = -21 ( x - (-2 ) => y = 33 - 21 x - 42 => y = -21x - 9

m = -21 and b = - 9