y = -x² – 2 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the intersection points of the parabola above and the line -x+y=-4.

y = -x² – 2
%3D
Transcribed Image Text:y = -x² – 2 %3D
Expert Solution
Step 1

Given equation of parabola and the line are as below.

Calculus homework question answer, step 1, image 1

Step 2

Intersect points are the points at which coordinate of both parabola curve and line are same.

Since x and y are same for parabola and line therefore you can substitute expression of y in the equation of line as shown below.

Calculus homework question answer, step 2, image 1

Step 3

This is quadratic equation, to solve it use quadratic equation formula.

Calculus homework question answer, step 3, image 1

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