Log and exponent transformations

Front

What is a transformation in the context of functions?

Back

A transformation refers to the alteration of a function's graph through shifts, stretches, compressions, or reflections.

Front

Define vertical translation.

Back

Vertical translation involves shifting the graph of a function up or down without changing its shape.

Front

Define horizontal translation.

Back

Horizontal translation involves shifting the graph of a function left or right without changing its shape.

Front

What does a vertical stretch mean?

Back

A vertical stretch occurs when the graph of a function is pulled away from the x-axis, making it taller.

Front

What does a vertical compression mean?

Back

A vertical compression occurs when the graph of a function is pushed towards the x-axis, making it shorter.

Front

How do you identify the y-intercept of a function?

Back

The y-intercept is found by evaluating the function at x=0.

Front

What is the parent graph of an exponential function?

Back

Front

Back

This equation represents a transformed exponential function, where (h, k) indicates the horizontal and vertical shifts, respectively.

Front

What is the effect of adding a constant to the function?

Back

Adding a constant to the function results in a vertical shift of the graph.

Front

What is the effect of subtracting a constant from the input variable?

Back

Subtracting a constant from the input variable results in a horizontal shift of the graph.