We are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A.
Unless otherwise specified we usually assume the dilation is about the origin. That is you can tell the scale factor by the way the distance to the origin changes.
Point C, for example, is 6 units from the origin. Its image, C' is 4 units from the origin. Then the scale factor image/original is 4/6 = 2/3.
Your green question mark gets filled with 3 to make the fraction 2/3.
_____
To find the translation, pick any point on A'B'C' and find the corresponding point A'', B'', or C''. Count the squares you have to go left to get from A' to A'', for example. That will be 5 to the left. Similarly, count the squares you have to go down to get from A' to A''. That will be 4 down.
The US equivalent of "liters to meters" would be something like
"quarts to yards", which is equally meaningless.
Liters and meters don't even measure the same thing. Liters describe
volume, whereas meters describe length or distance. They don't convert
to each other .
If volume units could be converted to length units, then you (or somebody
with a slightly better grasp of his math) would be able to figure out how many
inches of gas he put into his car last week, and the cost of a foot of milk.
No it is not, whatsoever.
$1 for 2 cups. 14 cups in an afternoon means they got $7. If they did this for three days (7 x 3) they'd have 21 dollars. it is not reasonable because 21 is nowhere near 50.
Hope this helps
