Final answer:
Graph transformations involve horizontal stretch or compression, vertical shift, and reflection across the x-axis, depending on the equation of the function. The correct answer is D) All of the above.
Step-by-step explanation:
The graph transformations of a function involve various changes to the graph's appearance and position. To determine the specific transformations using a calculator, you can use the function's equation and input different values for the variables.
A) Horizontal stretch or compression: If the coefficient of the variable inside a trigonometric function is less than 1, it represents a horizontal stretching, while a coefficient greater than 1 represents a horizontal compression.
B) Vertical shift: Adding or subtracting a constant value outside the trigonometric function shifts the graph vertically.
C) Reflection across the x-axis: Multiplying the trigonometric function by a negative value reflects the graph across the x-axis.
D) All of the above: The graph transformations can include horizontal stretch or compression, vertical shift, and reflection across the x-axis, depending on the values of the function's equation.