Question

In which direction does the parabola x=2y2+1 open? A up B down C Right D left

Answer 1

Answer and Step-by-step explanation:

First, we need to set this equation equal to y, which means we need to get y by itself, and all other terms equal to y.

x = $2y^2 + 1$

Subtract 1, then divide by 2 on both sides.

$x - 1 = 2y^2\\\\\frac{x-1}{2} = y^2$

Now, take the square root of both sides.

$y=\sqrt{\frac{x-1}{2}}$

We see that the value with the x (1) is positive, and that we have a square root function, which means the parabola would open to the right.

(If the x value was negative, the square root function's parabola would open to the left)

So, C (Right) is the correct answer.

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I hope this helps!