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The vertex of this parabola is at (1, 3). Which of the following could be its equation?
A. x = 3(y - 3)2 - 1
B.y = 3(x + 1)2 - 3
C.x = 3(y - 3)2 + 1
D.y = 3(x + 1)2 + 3

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Luv2Teach

Answer:

Step-by-step explanation:

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

[tex]y=a(x-h)^2+k[/tex] so using the info given, our equation would have to be:

[tex]y=3(x-1)^2+3[/tex] and that is not one of our options.  No worries, we have another option.  

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

[tex]x=a(y-k)^2+h[/tex] so using the info given, our equation would have to be:

[tex]x=3(y-3)^2+1[/tex] which is option C.

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