How to vertically stretch x^2 + 4 by a factor of 3

Step-by-step explanation:

Because the population is always twice as large, the new population’s output values are always twice the original function’s output values.

If we choose four reference points, (0, 1), (3, 3), (6, 2) and (7, 0) we will multiply all of the outputs by 2.

The following shows where the new points for the new graph will be located.

⎧

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎩

(

0

,

1

)

→

(

0

,

2

)

(

3

,

3

)

→

(

3

,

6

)

(

6

,

2

)

→

(

6

,

4

)

(

7

,

0

)

→

(

7

,

0

)

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction