Consider the following equation. 6² - x = 36 Find any Intercepts. x-Intercept (x, y) = ( y-Intercepts (x, y) = ( Test for symmetry. (Select all that apply.) O The equation is symmetric with respect to the x-axis. Sketch the graph of the equation. y (x, y) = The equation is symmetric with respect to the y-axis. The equation is symmetric with respect to the origin. None of the above. 6 -2 -4 -6 (0, √6) 10 (0,-√6) (smaller y-value) (larger y-value) 20 30 (36,0) 40 De (6, 0) (-6, 0) St (0.6) -3-(0-6) 2 -2 (0.6)5 (0, -65 (-36, 0) -40 O 30 -20 (0, √6) -10 6 y 2 (0,-√6) -6 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Consider the following equation.
6y² - x = 36
Find any Intercepts.
x-Intercept
y-Intercepts (x, y) =
Test for symmetry. (Select all that apply.)
6
(x, y) =
Sketch the graph of the equation.
y
4
The equation is symmetric with respect to the x-axis.
The equation is symmetric with respect to the y-axis.
The equation is symmetric with respect to the origin.
None of the above.
2
(x, y) =
-4
-6
(0, √6)
10
(0, -√6)
20
(smaller y-value)
30.
(larger y-value)
(36,0)
40
O
y
5 (0.6)
-5-(0, -6)
2
4
(6, 0)
(-6, 0)
-4
-2
(0, 6) 5
(0, -65
X
(-36, 0)
-40
-30
-20
(0, √6)
-10
6
y
2
-2
(0,-√6)
-6
X
Transcribed Image Text:Consider the following equation. 6y² - x = 36 Find any Intercepts. x-Intercept y-Intercepts (x, y) = Test for symmetry. (Select all that apply.) 6 (x, y) = Sketch the graph of the equation. y 4 The equation is symmetric with respect to the x-axis. The equation is symmetric with respect to the y-axis. The equation is symmetric with respect to the origin. None of the above. 2 (x, y) = -4 -6 (0, √6) 10 (0, -√6) 20 (smaller y-value) 30. (larger y-value) (36,0) 40 O y 5 (0.6) -5-(0, -6) 2 4 (6, 0) (-6, 0) -4 -2 (0, 6) 5 (0, -65 X (-36, 0) -40 -30 -20 (0, √6) -10 6 y 2 -2 (0,-√6) -6 X
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