Unit 5&6 Review Day 2 Redo

Front

What happens to the graph of f(x) = x when f(x) is replaced with f(x) + 2?

Back

The graph is vertically translated up by 2 units.

Front

Describe the transformation of g(-x) - 4.

Back

The graph is reflected across the y-axis and translated down 4 units.

Front

What is the transformation of g(x + 4) - 6?

Back

The graph is translated left 4 units and down 6 units.

Front

What transformation occurs when f(x) is replaced with f(x) - 6?

Back

The graph is translated down 6 units.

Front

Write the equation representing a culture of bacteria that starts with 5000 cells and dies by 30% each year.

Back

y = 5000(0.7)^x.

Front

What is a vertical translation in graph transformations?

Back

A vertical translation moves the graph up or down without changing its shape.

Front

What does a reflection across the x-axis do to a graph?

Back

It flips the graph over the x-axis, changing the sign of the y-values.

Front

How does a reflection across the y-axis affect a function?

Back

It flips the graph over the y-axis, changing the sign of the x-values.

Front

What is the effect of adding a constant to a function, such as f(x) + k?

Back

It results in a vertical translation of the graph by k units.

Front

What does the expression g(x - 3) represent?

Back

It represents a horizontal translation of the graph of g(x) to the right by 3 units.