Answer: True
The domain and range swap when you go from the original function to the inverse. This is because the x and y swap places. Recall that the domain is the set of possible x inputs and the range is the set of possible y outputs.
The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
Answer:
x = 4/3
Step-by-step explanation:
15 - 5x = 6x + 3 - 2x
In this kind of equation, we try to seperate the x's and the numbers.
So we add 5x to both sides and subtract 3 from both sides to seperate these values
15 - 3 - 5x + 5x = 6x + 3 - 3 - 2x + 5x
=> 12 = 9x
=> 12/9 = x
=> 4/3 = x
=> x = 4/3
To check, we can plug this in.
15 - 5(4/3) = 6(4/3) + 3 - 2(4/3)
15 - 20/3 = 24/3 + 3 - 8/3
45/3 - 20/3 = 24/3 + 9/3 - 8/3
25/3 = 25/3
So our answer works.
