Check In 2: Transformations

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does it mean to compress a function vertically?

Back

To compress a function vertically means to multiply the function by a factor less than 1, which makes the graph of the function closer to the x-axis.

Front

What is the effect of shifting a function left by 4 units?

Back

Shifting a function left by 4 units means to replace x with (x + 4) in the function's equation.

Front

What is the effect of shifting a function up by 3 units?

Back

Shifting a function up by 3 units means to add 3 to the entire function's output.

Front

What is the parent function of a cube root function?

Back

The parent function of a cube root function is @@f(x) = oot{3}{x}@@.

Front

How do you reflect a function across the x-axis?

Back

To reflect a function across the x-axis, you multiply the entire function by -1.

Front

What does it mean to have an absolute maximum?

Back

An absolute maximum is the highest point over the entire domain of a function.

Front

What does it mean to have an absolute minimum?

Back

An absolute minimum is the lowest point over the entire domain of a function.

Front

How do you identify the transformations of a square root function?

Back

Transformations of a square root function can be identified by changes in the function's equation, such as shifts, reflections, and stretches.

Front

What is the effect of a negative sign in front of a square root function?

Back

A negative sign in front of a square root function reflects the graph across the x-axis.