Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
2 π x 3 x 7 + π x 3^2 x2= 60 π= 188
The perpendicular slope would be the opposite of -8, so the perpendicular slope would be 1/8. For you to get this answer you have to change the sign from a negative to a positive, and flip the number to get 1/8.
Answer:
The 2nd case is the better value
Step-by-step explanation:
£11.45
Case 1: That would be £11.45 + -------------- for the two shirts. This comes
2
out to 1.5(£11.45) = £17.175 for two shirts.
Case 2: Two shirts for £10.16 each comes out to £20.32; multiplying that by (1.00 - 0.20), or (0.80) results in (0.80)(£20.32) = £16.256.
The 2nd case is the better value, as one would get 2 shirts for £16.26, versus 2 shirts for £17.18 in the other case.