The graph of y = sin^2 x + cos^2 x is a straight line at y = 1. This is because sin^2 x + cos^2 x always equals 1, regardless of the value of x.
This is because of the Pythagorean identity, which states that sin^2 x + cos^2 x = 1 for all values of x. This is a fundamental property of trigonometric functions.
Yes, the graph of y = sin^2 x + cos^2 x is periodic with a period of 2π. This means that the graph repeats itself every 2π units along the x-axis.
Changing the value of x will shift the graph of y = sin^2 x + cos^2 x horizontally, but it will not change the shape or height of the graph. This is because the value of sin^2 x + cos^2 x will always equal 1, regardless of the value of x.
The domain of y = sin^2 x + cos^2 x is all real numbers, since x can take on any value. The range of the graph is [0,1], since the minimum value of sin^2 x + cos^2 x is 0 and the maximum value is 1.