Find the domain and range of this equation: y=3 (x-2)^2+5

We have
y=3(x-2)^2+5

using a graph tool
see the attached figure

the domain is (-∞,∞)
the range is [5,∞)

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.