Which equation describes a parabola that opens left or right and whose
vertex is at the point (h, v)?
A. y = a(x - 1)2 + 1
B. x = aly - y)2 + h
C. x = aly - h)2 + V
O D. y = a(x - h)2 + V

Respuesta :

Answer:

  B.  x = a(y - v)^2 + h

Step-by-step explanation:

The basic equation is ...

  x = f(y)

  x = y^2

To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...

  x -h = (y -v)^2

To scale the graph horizontally by a factor of "a", we multiply the right side by "a":

  x -h = a(y -v)^2

Adding h gives the form you want to compare to the answer list:

  x = a(y -v)^2 +h

_____

The attachment shows an example for (h, v) = (4, 3).

Ver imagen sqdancefan

Answer:

B

Step-by-step explanation:

Hopefully this helps :)

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