Question

Asked Sep 24, 2019

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the graph f(x) contains the point (-5,5) use notation (a,b) to give the point.

a) what point must be on the graph f(x)+4?

b) what point must be on the graph f(x+4)?

c) what point must be on the graph f(x-2)-1

Step 1

Given that the graph f(x) contains the point (-5,5).

To find:

- a) what point must be on the graph f(x)+4?
- b) what point must be on the graph f(x+4)?
- c) what point must be on the graph f(x-2)-1?

Step 2

The transformation of the function f(x) to f(x) + 4 moves the function 4 units upward.

Therefore, all the points on the curve will move 4 units upward (i.e. y coordinate will change to y + 4 and x coordinate will remain the same). So, the new coordinate of the point (-5, 5) will be (-5, 5 +4) or (-5, 9).

Step 3

The transformation of the function f(x) to f(x+4) moves the function 4 units left.

Therefore, all the points on the curve will move 4 units toward left (i.e. ...

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