Transformations of Linear Functions

Front

What is a transformation of a linear function?

Back

A transformation of a linear function involves shifting, reflecting, stretching, or compressing the graph of the function.

Front

What does the equation y = f(x + 7) represent?

Back

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

Front

What does the equation y = 4f(x - 3) indicate about the function?

Back

The graph is steeper than the parent function and shifted right by 3 units.

Front

Which function represents a vertical shift down by 2 units?

Back

f(x) = x - 2.

Front

What type of function is represented by the equation y = mx + b?

Back

Linear function.

Front

If the parent function f(x) = x is shifted 7 units up, what is the new function?

Back

g(x) = x + 7.

Front

What does a horizontal compression by a factor of 3 mean for the function?

Back

The function is transformed to g(x) = f(3x), making it narrower.

Front

How does the equation y = -f(x) affect the graph of the function?

Back

It reflects the graph across the x-axis.

Front

What is the parent function of linear equations?

Back

The parent function is f(x) = x.

Front

What does the term 'vertical stretch' mean in the context of linear functions?

Back

A vertical stretch occurs when the function is multiplied by a factor greater than 1, making the graph steeper.