The function ƒ(x) = is translated 3 units in the positive y-direction and reflected across the y-axis. Select the correct equation for the resulting function. Multiple choice answers in attachment image

A) ƒ(x) =  + 3

Step-by-step explanation:

A. f(x)=−x+3

Explanation:

It is stated that the function f(x) is translated 3 units in the positive y-direction. This means that the function f(x) is moved 3 units upwards.

In transforming functions, a upwards vertical translation (moving the function upwards) of a units is done by: f(x) + a.

This means that in order to move f(x) 3 units upwards, we need to add 3 to the given function. This now makes our function:

f(x)=x+3

Finally, it is also stated that it is reflected across the y-axis. For reflection across the y-axis, the transformation can be done by simply multiplying -1 to x only

f(x)=−1×x+3

f(x)=−x+3

Therefore, the answer is A

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: