Question

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

Answer 1

B

Explanation:

Hopefully this helps :)

Answer 2

B. x = a(y - v)^2 + h

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

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