Question

Describe how to shift the ordered pairs to create a sketch of the function.

shift left by 7 and down by 1
shift right by 7 and down by 1
shift right by 7 and up by 1
shift left by 7 and up by 1

Answer 1

To shift ordered pairs, subtract or add values to the x- and y-coordinates according to the given instructions.

Step-by-step explanation:

To shift ordered pairs to create a sketch of a function, you can use the following steps:

1. To shift left by 7 units, subtract 7 from the x-coordinates of all the points.
2. To shift right by 7 units, add 7 to the x-coordinates of all the points.
3. To shift down by 1 unit, subtract 1 from the y-coordinates of all the points.
4. To shift up by 1 unit, add 1 to the y-coordinates of all the points.

For example, if the initial point is (3, 5):

- Shifting left by 7 units: (3-7, 5) = (-4, 5)

- Shifting right by 7 units: (3+7, 5) = (10, 5)

- Shifting down by 1 unit: (3, 5-1) = (3, 4)

- Shifting up by 1 unit: (3, 5+1) = (3, 6)

Answer 2

the 4th answer option : shift left by 7 and up by 1

Step-by-step explanation:

the "+1" at the end is simply adding 1 to every y (function result) of f(x). so, that moves everything up by 1.

the "+7" in the function argument is a little bit more complex : it means that the function value of x is the function value that would have been originally created for x+7. so, it happens 7 units "earlier". therefore, this means a shift to the left.