Absolute Value Graphs WS

Front

What is the parent function of an Absolute Value?

Back

f(x) = |x|, which produces a V-shaped graph.

Front

Which graph represents the parent function of an Absolute Value?

Back

The graph of f(x) = |x| is typically represented in blue.

Front

What effect does the equation y = |x - 3| have on the graph?

Back

It slides the graph to the right by 3 units.

Front

What is the equation of the absolute value function that shifts up by 4?

Back

f(x) = |x| + 4.

Front

What is the vertex of the absolute value function f(x) = |x| + 4?

Back

The vertex is at the point (0, 4).

Front

What effect does the equation y = |x| - 7 have on the graph?

Back

It slides the graph down by 7 units.

Front

How does the graph of y = |x + 2| differ from y = |x|?

Back

It slides the graph to the left by 2 units.

Front

What is the general form of an absolute value function?

Back

f(x) = a|bx - h| + k, where (h, k) is the vertex.

Front

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

Back

The 'a' represents the vertical stretch or compression and reflection of the graph.

Front

What happens to the graph of y = |x| when 'a' is negative?

Back

The graph is reflected over the x-axis.