What does it mean for a graph to have symmetry?
A graph is symmetric with respect to a line if reflecting the graph over that line leaves the graph unchanged.
This line is called an axis of symmetry of the graph.
What is a symmetric equation?
The symmetric form of the equation of a line is an equation that presents the two variables x and y in relationship to the x-intercept a and the y-intercept b of this line represented in a Cartesian plane. The symmetric form is presented like this: xa+yb=1, where a and b are non-zero.
How do you identify the domain and range of a function?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
How do you find the point of origin?
An origin is a beginning or starting point, and, in mathematics, the origin can also be thought of as a starting point. The coordinates for every other point are based on how far that point is from the origin. At the origin, both x and y are equal to zero, and the x-axis and the y-axis intersect.
Is Origin symmetry odd or even?
If f(−x) = −f(x), then the graph of f(x) is symmetrical with respect to . A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.
Is a circle symmetric with respect to the origin?
Show algebraically that a circle with center at the origin is symmetric with respect to the origin. … A circle with center at the origin and radius r >0 has equation x 2+ y 2= r 2. By substituting − x for x and − y for y .