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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ

source : algebra.com

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ

Question 1036384: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 5θ
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Symmetry and Graphs | Purplemath

Symmetry and Graphs | Purplemath – Graph B: This graph is symmetric about the axes; that is, it is symmetric about the lines x = 0 (the y-axis) and y = 0 (the x-axis). It is also symmetric about the origin. Since there exist vertical lines (such as the line x = 2) which will cross this graph twice, what it shows is not a function.Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the y-axis we will get the same graph. There are other functions that we can reflect about both the x- and y-axis and get the same graph. These are two types of symmetry we call even and odd functions.Answer to 1.Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 – 3 sin CHOICES: A)Origin only B)x-axis only C)y-axis only

Function symmetry introduction (video) | Khan Academy – Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -2 + 3 cos θ? HELP PLEASE! Answer Save. 1 Answer. Relevance. Melvyn. Lv 7. 8 years ago. Favorite Answer. if the graph is symmetric about the "x-axis" the equation will produce the same r value for negative theta as positive theta. since cos[-theta]= cos [thetaIn this section we introduce the idea of symmetry. We discuss symmetry about the x-axis, y-axis and the origin and we give methods for determining what, if any symmetry, a graph will have without having to actually graph the function.For x-axis symmetry in a polar graph, it means we are replacing the angle x with the angle (360-x). So the question is whether cos (360-x) is equal to cos (x). The formula for the cosine of the difference of two angles tells us that it is: So the graph of r = 5cos (3x) has symmetry about the x-axis.

Function symmetry introduction (video) | Khan Academy

[Solved] Determine if the graph is symmetric about the x – Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -4 + 5 cos θ? Origin only. y-axis only. No symmetry. x-axis only. Answer Save. 1 Answer. Relevance. SB. Lv 6. 7 years ago. It all depends!!!! ( Not too many times you can say that with math problems.) The red one is symmetric about the y axis. The blue oneQuestion: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 – 4 cos θY = 5(-x) 2 + 4 Y = 5x 2 + 4 . Since replacing x with -x gives the same equation, the equation y = 5x 2 + 4 is symmetric with respect to the y-axis. Test for symmetry with respect to the origin. The graph of a relation is symmetric with respect to the origin if for every point (x,y) on the graph, the point (-x, -y) is also on the graph.

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