56.0k views
3 votes
Describe the graph transformations of the function using a calculator.

A) Horizontal stretch or compression
B) Vertical shift
C) Reflection across the x-axis
D) All of the above

User Skeller
by
8.0k points

1 Answer

4 votes

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.

User Xoned
by
8.2k points

No related questions found