Transformations of Absolute Value and Quadratic Functions

Front

What is the parent function of absolute value?

Back

y = |x|

Front

Describe the transformation of the equation y = |x + 2| - 5 from the parent function y = |x|.

Back

Left 2 down 5

Front

What does a positive value inside the absolute value function indicate?

Back

It indicates a horizontal shift to the left.

Front

What does a negative value inside the absolute value function indicate?

Back

It indicates a horizontal shift to the right.

Front

What is the effect of adding a constant outside the absolute value function?

Back

It results in a vertical shift.

Front

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

Back

Right 4

Front

What is the vertex of the function y = |x - 3| + 2?

Back

(3, 2)

Front

What is the effect of multiplying the absolute value function by a factor greater than 1?

Back

It stretches the graph vertically.

Front

What is the effect of multiplying the absolute value function by a factor between 0 and 1?

Back

It compresses the graph vertically.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c