Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd.
(4a,6b)

A)(-4a,-6b)
B)(-4a,6b)
C)(4a,-6b)
D)(4a,6b)
E)None of the above

Question

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is odd. ​
(4a,6b)
​
A)​(-4a,-6b)
B)​(-4a,6b)
C)​(4a,-6b)
D)​(4a,6b)
E)None of the above

Quizplus · Accepted Answer

Since the function is odd, we know that it has symmetry with respect to the origin. This means that for any point (x,y) on the graph of the function, (-x,-y) must also be on the graph.

In this case, we are given the point (4a, 6b) on the graph of the function. So, using the symmetry property for an odd function, we can say that (-4a,-6b) must also be on the graph.

Therefore, the correct choice is A) (-4a,-6b).

Find the Coordinates of a Second Point on the Graph