In which direction does the parabola y - 9x^2 = -6 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Orientation: Identify if the parabola is vertical or horizontal. y - 9x^2 = -6 has a squared x term. It's a vertical parabola.Rearrange Equation to Standard Form: Rearrange the equation to standard form by isolating y. Add 9x^2 to both sides. y - 9x^2 + 9x^2 = -6 + 9x^2 y = 9x^2 - 6Determine Parabola Opening Direction: Determine the direction the parabola opens. The coefficient of x^2 is 9, so a = 9. a > 0, the parabola opens up.

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In which direction does the parabola $y - 9x^2 = -6$ open? $\newline$ Choices: $\newline$ (A)up $\newline$ (B)down $\newline$ (C)right $\newline$ (D)left

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Algebra 2

Find properties of a parabola from equations in general form

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Q. In which direction does the parabola

y - 9x^2 = -6

open?

\newline

Choices:

\newline

(A)up

\newline

(B)down

\newline

(C)right

\newline

(D)left

Identify Parabola Orientation: Identify if the parabola is vertical or horizontal. $\newline$ $y - 9x^2 = -6$ has a squared $x$ term. $\newline$ It's a vertical parabola.
Rearrange Equation to Standard Form: Rearrange the equation to standard form by isolating $y$ . Add $9x^2$ to both sides. $y - 9x^2 + 9x^2 = -6 + 9x^2$ $y = 9x^2 - 6$
Determine Parabola Opening Direction: Determine the direction the parabola opens. $\newline$ The coefficient of $x^2$ is $9$ , so $a = 9$ . $\newline$ a > 0, the parabola opens up.