In Exercises 37–38, graph the two equations and find the points at which the graphs intersect. 37. y = -x2, y = 2x2 - 1 38. x2 + y2 = 1, (x - 1)2 + y2 = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 2E
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In Exercises 37–38, graph the two equations and find the points at which the graphs intersect.

37. y = -x2, y = 2x2 - 1

38. x2 + y2 = 1, (x - 1)2 + y2 = 1

Expert Solution
Step 1

(37) The two equations of the graph are

Calculus homework question answer, step 1, image 1

Now, to find intersection points solve both equations

Calculus homework question answer, step 1, image 2

Substituting the value of x in any of the given equations

Calculus homework question answer, step 1, image 3

Therefore, points of intersection are

Calculus homework question answer, step 1, image 4

The graph of the equations is

Calculus homework question answer, step 1, image 5

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