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

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: