In which direction does the parabola y + 3x^2 = 1 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Type: y + 3x^2 = 1 Identify if the parabola is vertical or horizontal. Since the x term is squared, it's a vertical parabola.Rearrange Equation: y + 3x^2 = 1 Rearrange the equation to isolate y. Subtract 1 from both sides. y + 3x^2 - 1 = 1 - 1 y = -3x^2Determine Parabola Direction: y = -3x^2 Determine the direction the parabola opens. The coefficient of x^2 is -3, so a = -3. Since a < 0, the parabola opens downwards.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In which direction does the parabola $y + 3x^2 = 1$ open? $\newline$ Choices: $\newline$ (A) up $\newline$ (B) down $\newline$ (C) right $\newline$ (D) left

View step-by-step help

Home

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 = 1

open?

\newline

Choices:

\newline

(A) up

\newline

(B) down

\newline

\newline

(D) left

Identify Parabola Type: $y + 3x^2 = 1$ $\newline$ Identify if the parabola is vertical or horizontal. $\newline$ Since the $x$ term is squared, it's a vertical parabola.
Rearrange Equation: $y + 3x^2 = 1$ $\newline$ Rearrange the equation to isolate $y$ . $\newline$ Subtract $1$ from both sides. $\newline$ $y + 3x^2 - 1 = 1 - 1$ $\newline$ $y = -3x^2$
Determine Parabola Direction: $y = -3x^2$ $\newline$ Determine the direction the parabola opens. $\newline$ The coefficient of $x^2$ is $-3$ , so $a = -3$ . $\newline$ Since a < 0, the parabola opens downwards.