In which direction does the parabola y + x^2 = 7 open? Choices: (A)up (B)down (C)right (D)left

Identify Parabola Type: y + x^2 = 7 Identify if the parabola is vertical or horizontal. Since x is squared, it's a vertical parabola.Isolate y in Standard Form: y + x^2 = 7 Isolate y to get the equation in standard form. y = -x^2 + 7Determine Parabola Direction: y = -x^2 + 7 Determine the direction the parabola opens. The coefficient of x^2 is -1, so a = -1. Since a < 0, the parabola opens downwards.

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In which direction does the parabola $y + x^2 = 7$ 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

y + x^2 = 7

open?

\newline

Choices:

\newline

(A)up

\newline

(B)down

\newline

(C)right

\newline

(D)left

Identify Parabola Type: $y + x^2 = 7$ $\newline$ Identify if the parabola is vertical or horizontal. $\newline$ Since $x$ is squared, it's a vertical parabola.
Isolate $y$ in Standard Form: $y + x^2 = 7$ $\newline$ Isolate $y$ to get the equation in standard form. $\newline$ $y = -x^2 + 7$
Determine Parabola Direction: $y = -x^2 + 7$ $\newline$ Determine the direction the parabola opens. $\newline$ The coefficient of $x^2$ is $-1$ , so $a = -1$ . $\newline$ Since a < 0, the parabola opens downwards.