Transformations assessment Easy

Front

What is a vertical compression in transformations?

Back

A vertical compression occurs when the output values of a function are multiplied by a factor less than 1, causing the graph to be 'squished' towards the x-axis.

Front

What happens to the graph of f(x) when g(x) = f(x) - 9?

Back

The graph of f(x) is translated vertically down by 9 units.

Front

What is a vertical translation in transformations?

Back

A vertical translation shifts the graph of a function up or down without changing its shape.

Front

What does g(x) = f(x + 7) indicate about the transformation?

Back

The graph of f(x) is shifted horizontally to the left by 7 units.

Front

What is a horizontal translation in transformations?

Back

A horizontal translation shifts the graph of a function left or right without changing its shape.

Front

What is the effect of g(x) = 3/4f(x) on the graph of f(x)?

Back

The graph of f(x) undergoes a vertical compression by a factor of 3/4.

Front

What does a positive value added to a function indicate?

Back

Adding a positive value to a function results in a vertical translation upwards.

Front

What does a negative value subtracted from a function indicate?

Back

Subtracting a negative value from a function results in a vertical translation downwards.

Front

What is the effect of g(x) = f(x) + 2 on the graph of f(x)?

Back

The graph of f(x) is translated vertically up by 2 units.

Front

What is the difference between vertical and horizontal transformations?

Back

Vertical transformations affect the output values (y-values) of the function, while horizontal transformations affect the input values (x-values).