Unit 4

Front

What is the effect of translating the graph of a function 2 units to the right?

Back

To translate a function 2 units to the right, replace x with (x - 2) in the function's equation.

Front

What is the effect of translating the graph of a function 4 units down?

Back

To translate a function 4 units down, subtract 4 from the function's output.

Front

What does it mean to stretch a function by a factor of 3?

Back

Stretching a function by a factor of 3 means multiplying the output of the function by 3.

Front

Back

Front

Back

Front

What does it mean for a quantity to be inversely proportional?

Back

If a quantity A is inversely proportional to quantity B, then as A increases, B decreases, and vice versa, typically expressed as A = k/B for some constant k.

Front

If 3 carpenters can build a deck in 36 hours, how many carpenters are needed to build it in 18 hours?

Back

6 carpenters are needed.

Front

Back

Front

Back

Front

What is the effect of reflecting a function over the x-axis?

Back

To reflect a function over the x-axis, multiply the output of the function by -1.