Practice test 2, section 3 Q10, the answer is C (which you can easily obtain by plugging in x = 0) but is there another way to do or it some other logic you can use?

Thank you!

Plugging in zero is smart! The “other logic” way is to recognize that although all choices have a –2 in them, in only one choice is that –2 within parentheses so that the exponent applies. will never be negative.

Knowing your function shift rules helps here: is just the parabola shifted 2 units to the right. Of course, the minimum value of is zero; shifting it 2 units right won’t change that minimum.