Absolute Value Functions Transformations

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

What transformation does f(x) = |x| - 5 represent?

Back

Shifts down 5

Front

What transformation does y = |x| + 10 represent?

Back

Shifted up 10

Front

Write the equation for a graph that shifts down 9.

Back

y = |x| - 9

Front

What transformation does y = 2/5|x| + 6 represent?

Back

Vertically compressed by a factor of 2/5 and shifted up 6.

Front

What does the equation y = |x + 3| represent?

Back

Shifts left 3.

Front

What does the equation y = |x - 3| represent?

Back

Shifts right 3.

Front

What is the effect of a negative sign in front of the absolute value function, like in y = -|x|?

Back

Reflects the graph over the x-axis.

Front

What does the equation y = 3|x| represent?

Back

Vertically stretches the graph by a factor of 3.

Front

What transformation does y = |x| - 4 represent?

Back

Shifts down 4.