Unit 3 HW (Days 1-3)

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 a horizontal translation of a function do?

Back

A horizontal translation shifts the graph of the function left or right along the x-axis.

Front

What does a vertical translation of a function do?

Back

A vertical translation shifts the graph of the function up or down along the y-axis.

Front

What is a vertical shrink?

Back

A vertical shrink compresses the graph of a function towards the x-axis by a factor less than 1.

Front

What is a vertical stretch?

Back

A vertical stretch expands the graph of a function away from the x-axis by a factor greater than 1.

Front

How do you find the vertex of an absolute value function?

Back

The vertex of an absolute value function in the form f(x) = a|x - h| + k is at the point (h, k).

Front

What is the vertex of the function f(x) = 2|x - 4|?

Back

The vertex is (4, 0).

Front

What does the notation f(x) ≤ |x - 1| indicate about the line?

Back

It indicates that the line is solid, meaning it includes the points on the line.

Front

What is the effect of a negative coefficient in front of an absolute value function?

Back

A negative coefficient reflects the graph of the function across the x-axis.

Front

What does the term 'k' represent in the function f(x) = a|x - h| + k?

Back

The term 'k' represents the vertical translation of the graph; it shifts the graph up if positive and down if negative.