Transformations assessment Easy

Front

What is a horizontal translation in function transformations?

Back

A horizontal translation shifts the graph of a function left or right along the x-axis.

Front

If g(x) = f(x + 7), what type of transformation occurs?

Back

Horizontal Translation Left 7.

Front

What is a vertical translation in function transformations?

Back

A vertical translation shifts the graph of a function up or down along the y-axis.

Front

If g(x) = f(x) + 2, what type of transformation occurs?

Back

Vertical translation up by 2 units.

Front

If g(x) = f(x) - 9, what type of transformation occurs?

Back

Vertical translation down by 9 units.

Front

What does a vertical stretch by a factor greater than 1 do to a function?

Back

It increases the distance between points on the graph from the x-axis.

Front

What does a vertical compression by a factor less than 1 do to a function?

Back

It decreases the distance between points on the graph from the x-axis.

Front

If g(x) = 3/4f(x), what type of transformation occurs?

Back

Vertical compression by a factor of 3/4.

Front

What is the effect of a negative sign in front of a function, such as g(x) = -f(x)?

Back

It reflects the graph across the x-axis.

Front

What is the effect of a positive constant added to a function, such as g(x) = f(x) + c?

Back

It translates the graph vertically up by c units.