Answered

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Question 2 of 10

The equation below describes a parabola. If [tex]\( a \)[/tex] is negative, which way does the parabola open?

[tex]\[ y = ax^2 \][/tex]

A. Left
B. Up
C. Down
D. Right

SUBMIT

Sagot :

GinnyAnswer
To determine the direction a parabola opens based on the given equation [tex]\( y = ax^2 \)[/tex] and the sign of [tex]\( a \)[/tex], let's analyze the properties of parabolas:

1. General Form of a Parabola: The standard form of a quadratic equation representing a parabola is [tex]\( y = ax^2 \)[/tex].

2. Role of Coefficient [tex]\( a \)[/tex]: The coefficient [tex]\( a \)[/tex] dictates the parabola's orientation:
- If [tex]\( a \)[/tex] is positive, the parabola opens upwards.
- If [tex]\( a \)[/tex] is negative, the parabola opens downwards.

3. Given Condition: In this problem, it is specified that [tex]\( a \)[/tex] is negative.

Since [tex]\( a \)[/tex] is negative, our parabola opens downwards.

Therefore, the correct answer is:

OC. Down
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