A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, shifted 2 units down and vertically stretched by a factor of 2?

The transformation of a function involves changing the features of the original function to another.

The new function is:

The function is given as:

When translated right, the rule is:

In this case;

--- i.e. 3 units right

So, the function becomes

When shifted down, the rule is:

In this case;

 --- i.e. 2 units down

So, the function becomes

When vertically stretched, the rule is:

In this case;

 --- i.e. factor of 2

So, the function becomes

Hence, the new function is:

Read more about function transformations at:

depends on how many days you are talking about

step-by-step explanation:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: