Algebra 2 2.7 Absolute Value Functions and Graphs

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

How does the graph of g(x) = |x - 2| differ from the parent function?

Back

It shifts the graph 2 units to the right.

Front

What effect does adding a constant outside the absolute value have on the graph?

Back

It shifts the graph vertically.

Front

What is the equation of the graph that is shifted down by 2 units from the parent function?

Back

y = |x| - 2

Front

What is the equation of the graph that is shifted left by 3 units?

Back

y = |x + 3|

Front

What is the equation of the graph that is shifted up by 4 units?

Back

y = |x| + 4

Front

What does the expression |x - 1| - 1 represent in terms of graph transformation?

Back

It represents a right shift by 1 unit and a downward shift by 1 unit.

Front

How do you identify the vertex of the absolute value function?

Back

The vertex is found at the point (h, k) in the function f(x) = |x - h| + k.

Front

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

Back

It reflects the graph across the x-axis.

Front

What is the equation of the absolute value function that opens downwards?

Back

f(x) = -|x| + k, where k is the vertical shift.