Which two transformations can be used to
obtain the graph of y = 3(x - 5)2 from the
graph of y = x2?
F. A vertical compression and a translation
5 units left.
G. A vertical stretch and a translation
5 units left.
H. A vertical compression and a translation
5 units right.
J. A vertical stretch and a translation
5 units right.

We have been given that that function is obtained from the graph of . We are asked to find the two transformations that can be used to obtain the transformed function.

We will use transformation rules to solve our given problem.

, where a is any positive number.

We can see that the value of a is 5 for our given function, therefore, graph is shifted to right by 5 units.

Now we will use scaling rules.

If , then function is stretched vertically by a factor of 'a'.

If , then function is compressed vertically by a factor of 'a'.

We can see that value of a is 3. Since 3 is greater than, so function will be stretched vertically by a factor of 3.

Therefore, the function can be obtained by a vertical stretch and translation of 5 units to right and option J is the correct choice.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00