Query about Question 19 from "PrepSwift Quant Tickbox Quiz #8 (Coordinate Geometry Column 2)" [6593]

https://prepswift.gregmat.com/quizzes/quiz/prepswift-quant-tickbox-quiz-8-coordinate-geometry-column-1 (Question 19)


I got this question right, mostly due to elimination, but I was wondering, even without completing the square as Greg showed in the solution, if x=0 then y is 1, so isn’t y = 1 both the intercept AND the minimum point of the parabula?

This graph doesn’t really make sense to me because the y=intercept is in fact 1 but the minimum is some negative fraction like in the video solution. How would I know to go about it like Greg did?

How?