Transformation of Abs. Value Function

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

What transformation occurs when the function is shrunk by a factor of 2?

Back

The graph becomes narrower, approaching the x-axis more steeply.

Front

What does it mean to shift a graph to the right by 3 units?

Back

Every point on the graph moves 3 units to the right on the x-axis.

Front

What is the axis of symmetry in a graph?

Back

A line that divides the graph into two mirror-image halves.

Front

What is the equation of the graph f(x) = |x - 2|?

Back

This graph represents a V-shape that opens upwards with a vertex at (2,0).

Front

What shifts occur when the function is moved right by 1 and up by 5?

Back

The entire graph moves 1 unit to the right and 5 units up.

Front

What is the effect of adding a constant outside the absolute value function?

Back

It shifts the graph vertically.

Front

What does the term 'stretch by a factor of 2' mean for a function?

Back

The graph is pulled away from the x-axis, making it taller.

Front

How does the transformation f(x) = |x + 4| differ from f(x) = |x|?

Back

The graph of f(x) = |x + 4| shifts left by 4 units.

Front

What is the vertex of the function f(x) = |x - 2| + 3?

Back

The vertex is at the point (2, 3).