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Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(2x) sin (2 x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
Example 1 The graph shows the function y = f(x). y = 2f(x) and y = –f(x). The function y = 2f(x) is a vertical stretch of y = f(x) with scale factor 2 parallel to the y-axis. The function y = −f(x) is a reflection of y = f(x) in the x-axis. The graph shows the function y = f(x). y = f(2x) and y = f(–x).
You should already be familiar with the transformation y = f (-x) Let's Connect!
12 kwi 2024 · One way to graph the function y = sin(x) is to construct a table of x and y values for y = sin(x). Table 5.5.1 lists some of the values for the sine function. Plotting the points from the table and continuing along the x -axis gives the shape of the sine function, which is illustrated in the figure below.
Below we see a graph of these points plotted on the coordinate axes. In graphing trigonometric functions, we typically use radian measure along the x -axis, so the graph would generally look like this: The graph of the standard sine function begins at the zero point, then rises to the maximum value of 1 between 0 and 7 3 radians.
20 kwi 2023 · What do I need to know about graph reflections? The graph of y = -f(x) is a reflection in the x axis The x coordinates of points stay the same; y coordinates have their signs flipped (positive to negative, negative to positive) Points on the x axis stay where they are; All other points are reflected to the other side of the x axis
