Question

What transformation of the parent function f(x) is made to get f(-x)+1?A. a reflection in the x-axis and 1 unit in the y-directionB. a reflection in the y-axis and 1 unit in the y-directonOC. a reflection in the y-axis and -1 unit in the y-directionD. a reflection in the x-axis and -1 unit in the y-directionReset Selection

Answer 1

B. a reflection in the y-axis and 1 unit in the y-direction

Step-by-step explanation

When we get f(-x) + 1 we can see that two transformations were made. First, the variable was multiplied by -1, which gives us a reflection over the y-axis.

Then, a constant of 1 was added to the function. This gives us a translation of 1 unit up - in other words, a translation of 1 unit in the vertical (or y) direction.

Hence, the transformations were a reflection in the y-axis and 1 unit in the y-direction.