Questions: 2.4.3 Quiz: Parabolas with Vertices at the Origin Which of the equations below could be the equation of this parabola? A. y = -1/12 x^2 B. x = 1/12 y^2 C. y = 1/12 x^2

2.4.3 Quiz: Parabolas with Vertices at the Origin

Which of the equations below could be the equation of this parabola?
A. y = -1/12 x^2
B. x = 1/12 y^2
C. y = 1/12 x^2

Transcript text: 2.4.3 Quiz: Parabolas with Vertices at the Origin Which of the equations below could be the equation of this parabola? A. $y=-\frac{1}{12} x^{2}$ B. $x=\frac{1}{12} y^{2}$ C. $y=\frac{1}{12} x^{2}$

Solution

Solution Steps

Step 1: Analyze the parabola's orientation and vertex

The parabola opens to the right and its vertex is at the origin (0,0). This indicates the equation will be of the form x = ay² where 'a' is a constant.

Step 2: Determine the sign of 'a'

Since the parabola opens to the right, the value of 'a' must be positive.

Step 3: Compare with given options

Only option B, $x=\frac{1}{12} y^{2}$, matches the required form and has a positive 'a' value.