ARC, transformations, trig functions

Front

What is the value of sin(11π/6)?

Back

-1/2

Front

How do you shift the function f(x)=x^3 four units down?

Back

The equation is f(x)=x^3 - 4.

Front

Convert 144° to radians.

Back

Front

What is the rate of change for a linear function with a slope of 2?

Back

The rate of change is 2.

Front

If the blue graph is the parent function, what is the equation of the red (transformed) function if it is shifted right by 1 unit?

Back

g(x)=(x-1)^3.

Front

What is the definition of a transformation in mathematics?

Back

A transformation is a function that maps a set of points to another set of points, altering their position, size, or shape.

Front

What is the sine function?

Back

The sine function, sin(θ), is a trigonometric function that represents the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function, cos(θ), is a trigonometric function that represents the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function, tan(θ), is a trigonometric function defined as the ratio of the sine to the cosine: tan(θ) = sin(θ)/cos(θ).

Front

What is the formula to convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees × (π/180).