Answer:
D
Step-by-step explanation:
To find the x coordinate of the vertex, we look at the quadratic given (which is conveniently already in vertex form). We see that there is a [tex](x-4)^2[/tex] term. The inside (x - 4) indicates where the x coordinate is. Since it is x - 4 and not x + 4, we know that the x coordinate will be positive 4 (because things are a little backward for x).
To find the y coordinate of the vertex, we look at the + 3 term at the end. The number here will indicate what the y coordinate is. Since it is + 3, and not - 3, we know that the y coordinate will be positive 3 (because things are NOT backward for y).
Thus, the vertex is D, (4, 3).
Hope this helps!
