A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola passing through the point A(−1,1).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 7SC: Find the vertex and yintercepts of the parabola with an equation of y2x+2y=3. Then graph it.
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A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola passing through the point A(−1,1).

Expert Solution
Step 1

Given the equation of parabola:

Calculus homework question answer, step 1, image 1

Step 2

Calculus homework question answer, step 2, image 1

Step 3

Calculus homework question answer, step 3, image 1

Step 4

Equating to eq(1), we get:

Calculus homework question answer, step 4, image 1

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