Question

30 points PLEASE HELP ME NOW PLEASE

Which function represents the graph of h(x)=2|x−3|+1 after it is translated 2 units to the right?
A. f(x)=2|x−3|+3 B. f(x)=2|x−1|+1 C. f(x)=2|x−3|−1 D.f(x)=2|x−5|+1

Answer 1

Explanation:

we know,

If we shift a graph to right or left,

then x terms have to be changed.

If a graph shifted to the right, then it will be decreased in x terms.

Here, the function is-

h(x)=2|x-3|+1

Now, we have to translate it 2 units to the right.

That is, x term will be decreased by 2 units.

So, the new function will be,

f(x)=2|x-3-2|+1

=2|x-5|+1

Ans. D) f(x)=2|x-5|+1