Alg. Lesson 13.2 HW

Front

What is the parent function of absolute value?

Back

f(x) = |x|

Front

What does the graph of g(x) = |x - 2| represent?

Back

A transformation of the parent function f(x) = |x| shifted 2 units to the right.

Front

How does the equation g(x) = |x + 2| differ from the parent function?

Back

It shifts the graph 2 units to the left.

Front

What does the equation g(x) = |x| + 2 represent?

Back

A vertical shift of the parent function f(x) = |x| upwards by 2 units.

Front

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

Back

It reflects the graph of the parent function across the x-axis.

Front

What does the term 'absolute value' refer to?

Back

The distance of a number from zero on the number line, always expressed as a positive value.

Front

How do you identify the vertex of the function y = |x - 3| - 2?

Back

The vertex is at the point (3, -2).

Front

What is the significance of the 'k' value in the function y = |x - h| + k?

Back

The 'k' value represents a vertical shift; if k is positive, the graph shifts up, and if negative, it shifts down.

Front

What does the equation y = -2|x - 3| + 5 indicate about the graph?

Back

It is a vertically stretched reflection of the parent function, with a vertex at (3, 5).

Front

What is the effect of adding a constant outside the absolute value, such as in y = |x| + 3?

Back

It shifts the graph of the parent function f(x) = |x| upwards by 3 units.