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.

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: