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In which direction does the parabola $y - 9x^2 = 0$ open? $\newline$ Choices: $\newline$ (A)up $\newline$ (B)down $\newline$ (C)right $\newline$ (D)left

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Find properties of a parabola from equations in general form

Full solution

Q. In which direction does the parabola

y - 9x^2 = 0

open?

\newline

Choices:

\newline

(A)up

\newline

(B)down

\newline

(C)right

\newline

(D)left

Identify Parabola Type: $y - 9x^2 = 0$ $\newline$ Identify if the parabola is vertical or horizontal. $\newline$ Since the $x$ term is squared, it's a vertical parabola.
Isolate $y$ in Standard Form: $y - 9x^2 = 0$ $\newline$ Isolate $y$ to get the standard form. $\newline$ $y = 9x^2$
Determine Opening Direction: $y = 9x^2$ $\newline$ Determine the direction of the opening. $\newline$ The coefficient of $x^2$ is $9$ , which is positive, so the parabola opens up.

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