Graphing Transformations

Front

What is the Absolute Value Parent Function?

Back

The Absolute Value Parent Function is f(x) = |x|.

Front

How does shifting a graph up affect its equation?

Back

Shifting a graph up by 'k' units adds 'k' to the function: f(x) becomes f(x) + k.

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch by a factor of 'a' multiplies the function by 'a': f(x) becomes a*f(x).

Front

How do you translate a graph down?

Back

Translating a graph down by 'k' units subtracts 'k' from the function: f(x) becomes f(x) - k.

Front

What does the transformation f(x + c) represent?

Back

The transformation f(x + c) represents a horizontal shift to the left by 'c' units.

Front

What does the transformation f(x - c) represent?

Back

The transformation f(x - c) represents a horizontal shift to the right by 'c' units.

Front

How do you determine the new coordinates after a transformation?

Back

To determine new coordinates after a transformation, apply the transformation rules to the original coordinates.

Front

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

Back

A negative sign in front of a function reflects the graph across the x-axis.

Front

What does the transformation f(x) = -(x + 1)^2 + 4 indicate?

Back

This transformation indicates a reflection across the x-axis, a left shift by 1 unit, and an upward shift by 4 units.

Front

If (a, b) is on the graph of f(x), what is the corresponding point on g(x) = f(x + c) + d?

Back

The corresponding point is (a - c, b + d).