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Given 16y^2 = 120x - 225,
A. Find the intercepts.
B. Test for symmetry with respect to the x-axis, y-axis, and origin.
Let me see.
For A, I simply let x = 0 to find the y-intercept(s).
To find find x-intercept(s), I must let y = 0.
You say?
Part B
To test for symmetry with respect to the x-axis, I must replace y with with -y.
Let's see.
16(-y)^2 = 120x - 225
16y^2 = 120x - 225...I got the original equation.
Yes, it's symmetric with respect to the x-axis.
To test for symmetry with respect to the y-axis, I must let x be -x
16y^2 = 120(-x) - 225
16y^2 = -120x - 225
I say not symmetric with respect to the y-axis.
To test for symmetry with respect to the origin, I must let y be -y and x be -x.
16(-y)^2 = 120(-x) - 225
16y^2 = -120x - 225
I say not symmetric with respect to the origin.
You say?
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Given 16y^2 = 120x - 225,
A. Find the intercepts.
B. Test for symmetry with respect to the x-axis, y-axis, and origin.
For A, I simply let x = 0 to find the y-intercept(s).
To find find x-intercept(s), I must let y = 0.
yes
Yes, it's symmetric with respect to the x-axis.
I say not symmetric with respect to the y-axis.
I say not symmetric with respect to the origin.
check your work with a graph
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harpazo1965 wrote:Given 16y^2 = 120x - 225,
A. Find the intercepts.
B. Test for symmetry with respect to the x-axis, y-axis, and origin.
For A, I simply let x = 0 to find the y-intercept(s).
To find find x-intercept(s), I must let y = 0.yes
harpazo1965 wrote:Yes, it's symmetric with respect to the x-axis.
I say not symmetric with respect to the y-axis.
I say not symmetric with respect to the origin.
check your work with a graph
its a sideways parabola so its only symmetric abt the x-axis
desmos graph
Thank you for the graph. It helps out in many ways.
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