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Fed [463]
4 years ago
13

Which two transformations can be used to

Mathematics
1 answer:
Kryger [21]4 years ago
6 0

We have been given that that function y=3(x-5)^2 is obtained from the graph of y=x^2. 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.

f(x-a)\Rightarrow\text{Graph shifted to the right by a units}, 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.

f(x)\Rightarrow a\cdot f(x)

If a>1, then function is stretched vertically by a factor of 'a'.

If a, 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.

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