Question

Functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 − 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units

Answer 1

Left by 4 units

Explanation:

I took it the first time and put Right 4 units and got it wrong. When i put left by 4 units i got it right.

Answer 2

Answer: The answer is (B) Right by 4 units.

Step-by-step explanation: The two functions f(x) and g(x) are defined as follows:

`f(x)=x^2,\\\\g(x)=x^2-8x+16.`

We are to check the correct transformation of the graph of f(x) to the graph of g(x).

We can rewrite the graph of g(x) as follows:

`g(x)=x^2-8x+16=x^2-2* x* 4+4^2=(x-4)^2.`

Comparing this with the equation of f(x), we can say that f(x) is shifted right by 4 units to obtain g(x).

The graphs of both the functions are shown in the attached figure.