Absolute Value Flashcard

Front

What is the parent function of absolute value?

Back

y = |x|

Front

Describe the transformation of the equation y = |x - 4| from the parent function y = |x|.

Back

Right 4

Front

What does the equation −2|−2r − 4| = -12 represent?

Back

The solutions are {-5, 1}.

Front

Which function is represented by the graph of a V-shape opening upwards and shifted down?

Back

f(x) = |x + 2| - 4

Front

What transformation does the function f(x) = -|2x + 6| + 5 undergo?

Back

It is reflected over the x-axis and shifted up 5.

Front

What is the effect of the coefficient in front of the absolute value function?

Back

It affects the vertical stretch or compression and reflection.

Front

How do you determine the vertex of the absolute value function f(x) = a|bx + c| + d?

Back

The vertex is at (-c/b, d).

Front

What is the significance of the absolute value in an equation?

Back

It represents the distance from zero, which is always non-negative.

Front

What does the transformation 'up 2' mean in the context of absolute value functions?

Back

It means to shift the entire graph of the function 2 units upwards.

Front

How do you solve the equation |x - 3| = 5?

Back

x - 3 = 5 or x - 3 = -5, giving solutions x = 8 and x = -2.