The vertex of this parabola is at (1,3). Which of the following could be its equation?

A. y = 3(x + 1)2-3
B. x = 3(y-3)2 + 1
C. y = 3(x + 1)2 + 3
D. x= 3(y - 3)2-1

The basic equation for a y = x-squared parabola is

y=a(x-h)^2+ky=a(x−h)

2

+k so using the info given, our equation would have to be:

y=3(x-1)^2+3y=3(x−1)

2

+3 and that is not one of our options. No worries, we have another option.

The basic equation for an x = y-squared parabola is

x=a(y-k)^2+hx=a(y−k)

2

+h so using the info given, our equation would have to be:

x=3(y-3)^2+1x=3(y−3)

2

+1 which is option C.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

5050

hope this !