In which direction does the parabola x + 3y^2 = -4 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Type: Look at the equation x + 3y^2 = -4 and identify the squared term to determine if the parabola is vertical or horizontal. Since y is squared, it's a horizontal parabola.Rearrange Equation: Rearrange the equation to solve for x. x = -3y^2 - 4Determine Parabola Direction: Check the coefficient of y^2 to determine the direction of the parabola. The coefficient is -3, which is less than 0, so the parabola opens to the left.

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In which direction does the parabola $x + 3y^2 = -4$ 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

x + 3y^2 = -4

open?

\newline

Choices:

\newline

(A) up

\newline

(B) down

\newline

\newline

(D) left

Identify Parabola Type: Look at the equation $x + 3y^2 = -4$ and identify the squared term to determine if the parabola is vertical or horizontal. $\newline$ Since $y$ is squared, it's a horizontal parabola.
Rearrange Equation: Rearrange the equation to solve for $x$ . $x = -3y^2 - 4$
Determine Parabola Direction: Check the coefficient of $y^2$ to determine the direction of the parabola. $\newline$ The coefficient is $-3$ , which is less than $0$ , so the parabola opens to the left.