What is the Y-intercept of a cosine graph?
What is the Y-intercept of a cosine graph?
The y-intercept of this function is the point where the line “crosses” the y-axis. In other words, it’s where “x” is 0. That makes this easy to find; all you have to do is plug in 0 for x to get y. So the y-intercept is 1.
How do you shift a cosine graph?
How to Shift a Sine or Cosine Graph on the Coordinate Plane
- f(x) = sin(x – 3) moves the parent graph of y = sin x to the right by 3.
- g(x) = cos(x + 2) moves the parent graph of y = cos x to the left by 2.
- k(x) = sinx + 4 moves the parent graph of y = sin x up 4.
What is period of Y 4cos5x?
The period of the function can be calculated using 2π|b| 2 π | b | . Replace b b with 5 5 in the formula for period. The absolute value is the distance between a number and zero. The distance between 0 0 and 5 5 is 5 5 .
How do you graph horizontal shifts?
Given a function f, a new function g ( x ) = f ( x − h ) \displaystyle g\left(x\right)=f\left(x-h\right) g(x)=f(x−h), where h is a constant, is a horizontal shift of the function f. If h is positive, the graph will shift right. If h is negative, the graph will shift left.
How to graph the intercept of a cosine function?
Here, we will use radians. The graph of a cosine function y = cos ( x) is looks like this: Properties of the Cosine Function, y = cos ( x) . x -intercept : ( n π 2, 0) , where n is an integer. The maximum value of y = cos ( x) occurs when x = 2 n π , where n is an integer.
When does the sine and cosine function shift?
The value C B C B for a sinusoidal function is called the phase shift, or the horizontal displacement of the basic sine or cosine function. If C > 0, the graph shifts to the right. If C < 0,the graph shifts to the left. The greater the value of | C |, the more the graph is shifted.
What is the period of a cosine function?
The period of a cosine function is the length of the shortest interval on the x -axis over which the graph repeats. Sketch the graphs of y = cos ( x) and y = 2 cos ( x) . Compare the graphs. For the function y = 2 cos ( x) , the graph has an amplitude 2 . Since b = 1 , the graph has a period of 2 π .
How to create a graph using Mathway and cos?
Find the vertical shift d d. List the properties of the trigonometric function. Select a few points to graph. Tap for more steps… Find the point at x = 0 x = 0. Tap for more steps… Replace the variable x x with 0 0 in the expression. Simplify the result.