Question

Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus 3 end quantity squared minus 3 question mark?

Answer 1

To transform f(x) into g(x) we need to use addition, subtraction and multiplication.

Given f(x)=$x^{2}$ and g(x)=$x/3+3(x^{2} -3)$

We need to transform function f(x)into g(x).

A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.

f(x)=$x^{2}$, g(x)=$x/3+3(x^{2} -3)$

To transform f(x) into g(x)  we need to follow the following steps:

1. First subtract  3 from f(x).
2. Then multiply the expression received from above step by 3.
3. Next step is to add x/3 to the expression received from the above step.
4. Now we will get the g(x)=$x/3+3(x^{2} -3)$.

Hence we have to use addition, subtraction and multiplication for transformation.

Learn more about function at brainly.com/question/10439235

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