What is the equation of the curve y = ax* + bx + cx² + dx + e tangent to y = 25x (2,14), to y = 2x + 1 at (1,3) and to pass through (-1,11). -30 at %3D A. y = x* + x³ + 2x² – 3x + 4 B. y = x* – x° + 2x² + 3x + 4 C. y = x*- x³ + 2x² – 3x + 4 D. y = x* – x³ – 2x² – 3x + 4

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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What is the equation of the curve y = ax* + bx + cx² + dx +e tangent to y = 25x – 30 at
(2,14), to y = 2x + 1 at (1,3) and to pass through (-1,11).
A. y = x* + x° + 2x² – 3x + 4
B. y =x* – x³ + 2x² + 3x + 4
C. y = x* – x³ + 2x² – 3x + 4
D. y = x* – x³ – 2x² – 3x + 4
Transcribed Image Text:What is the equation of the curve y = ax* + bx + cx² + dx +e tangent to y = 25x – 30 at (2,14), to y = 2x + 1 at (1,3) and to pass through (-1,11). A. y = x* + x° + 2x² – 3x + 4 B. y =x* – x³ + 2x² + 3x + 4 C. y = x* – x³ + 2x² – 3x + 4 D. y = x* – x³ – 2x² – 3x + 4
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