2. A parabola P has equation y = x² + x +1. (a) Determine the points of intersection of P and the line with equation y = x + 2. (b) Find the value of k such that the line L with equation y = k is tangent to P. (c) In this case determine the point of contact of L with P.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Answer the following question: 

2.
A parabola P has equation y = x² + x + 1.
(a) Determine the points of intersection of P and the line with equation y = x+2.
(b) Find the value of k such that the line L with equation y = k is tangent to P.
(c) In this case determine the point of contact of L with P.
Transcribed Image Text:2. A parabola P has equation y = x² + x + 1. (a) Determine the points of intersection of P and the line with equation y = x+2. (b) Find the value of k such that the line L with equation y = k is tangent to P. (c) In this case determine the point of contact of L with P.
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