Absolute value graphs

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

Which function defines the graph? f(x) = |x - 4| + 3, f(x) = |x - 3| + 4, f(x) = |-x + 4| + 3, f(x) = |x + 4| + 3

Back

f(x) = |x + 4| + 3

Front

What is the vertex of the function y=2|x-3|+1? (x, y)

Back

(3, 1)

Front

If the blue graph is the parent function f(x)=|x|, what is the red graph if g(x)=|x+2|, g(x)=|x|+2, g(x)=|x-2|, g(x)=|x|-2?

Back

g(x)=|x-2|

Front

What does the equation y = |x| - 7 do to the graph?

Back

Slides down 7

Front

What is the parent function of absolute value graphs?

Back

f(x) = |x|

Front

How does the graph of f(x) = |x - h| + k relate to its vertex?

Back

The vertex is at (h, k).

Front

What effect does the '+ k' have on the graph of an absolute value function?

Back

It shifts the graph vertically by k units.

Front

What effect does the '- h' have on the graph of an absolute value function?

Back

It shifts the graph horizontally by h units to the right.

Front

What is the range of the absolute value function f(x) = |x|?

Back

[0, infinity) because absolute value is always non-negative.