In which direction does the parabola y + 10x^2 = -1 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Orientation: Identify if the parabola is vertical or horizontal. y + 10x^2 = -1 has a squared x term. It's a vertical parabola.Rearrange Equation to Standard Form: Rearrange the equation to standard form by isolating y. Subtract 10x^2 from both sides. y + 10x^2 - 10x^2 = -1 - 10x^2 y = -10x^2 - 1Determine Parabola Opening Direction: Determine the direction the parabola opens. The coefficient of x^2 is -10, so a = -10. 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 $y + 10x^2 = -1$ 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 + 10x^2 = -1

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. $\newline$ $y + 10x^2 = -1$ has a squared $x$ term. $\newline$ It's a vertical parabola.
Rearrange Equation to Standard Form: Rearrange the equation to standard form by isolating $y$ . $\newline$ Subtract $10x^2$ from both sides. $\newline$ $y + 10x^2 - 10x^2 = -1 - 10x^2$ $\newline$ $y = -10x^2 - 1$
Determine Parabola Opening Direction: Determine the direction the parabola opens. $\newline$ The coefficient of $x^2$ is $-10$ , so $a = -10$ . $\newline$ Since a < 0, the parabola opens downwards.