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: The graph is shifted 6 units to the right.

Step-by-step 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 $y-1=\frac{1}{2}(x-6)^2$, 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.