In which direction does the parabola y - 3x^2 = 0 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Orientation: y - 3x^2 = 0 Identify whether the given parabola is vertical or horizontal. y - 3x^2 = 0 has squared x term. It is a vertical parabola.Convert to Standard Form: y - 3x^2 = 0 Convert the equation to standard form by isolating y. Add 3x^2 to both sides. y - 3x^2 + 3x^2 = 0 + 3x^2 y = 3x^2Determine Parabola Direction: y = 3x^2 In which direction does the parabola open? The coefficient of x^2 is 3, so a = 3. a > 0, the parabola opens up.

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In which direction does the parabola $y - 3x^2 = 0$ open? $\newline$ Choices: $\newline$ (A)up $\newline$ (B)down $\newline$ (C)right $\newline$ (D)left

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Math Problems

Algebra 2

Find properties of a parabola from equations in general form

Full solution

Q. In which direction does the parabola

y - 3x^2 = 0

open?

\newline

Choices:

\newline

(A)up

\newline

(B)down

\newline

(C)right

\newline

(D)left

Identify Parabola Orientation: $y - 3x^2 = 0$ $\newline$ Identify whether the given parabola is vertical or horizontal. $\newline$ $y - 3x^2 = 0$ has squared $x$ term. $\newline$ It is a vertical parabola.
Convert to Standard Form: $y - 3x^2 = 0$ $\newline$ Convert the equation to standard form by isolating $y$ . $\newline$ Add $3x^2$ to both sides. $\newline$ $y - 3x^2 + 3x^2 = 0 + 3x^2$ $\newline$ $y = 3x^2$
Determine Parabola Direction: $y = 3x^2$ $\newline$ In which direction does the parabola open? $\newline$ The coefficient of $x^2$ is $3$ , so $a = 3$ . $\newline$ a > 0, the parabola opens up.