Question

in the function y-1=1/2(x-6)^2 what effect does the number 6 have on the graph, as compared to the graph y=x^2

Answer 1

Answer: a

Step-by-step explanation: just took the quiz

Answer 2

Answer: The graph is shifted 6 units to the right.

Explanation:

It is important to remember that:

When
`f(x-k)`, then the function is shifted "k" units to the right.

Knowing this and given the quadratic parent function
`y=x^2` and the function
`y-1=(1)/(2)(x-6)^2`, you can observe that one of the transformations is the following:

`f(x-k)`

Where:

`k=6`

Therefore, you can notice that the effect is:

The graph is shifted 6 units to the right.