Question: The parabola y^2 = 12x opens in which direction?
Options:
Upwards
Downwards
Left
Right
Correct Answer: Right
Solution:
The equation y^2 = 12x indicates that the parabola opens to the right since it is in the form y^2 = 4px.
The parabola y^2 = 12x opens in which direction?
Practice Questions
Q1
The parabola y^2 = 12x opens in which direction?
Upwards
Downwards
Left
Right
Questions & Step-by-Step Solutions
The parabola y^2 = 12x opens in which direction?
Step 1: Identify the given equation, which is y^2 = 12x.
Step 2: Recognize that this equation is in the form y^2 = 4px, where 'p' is a constant.
Step 3: Compare the given equation with the standard form. Here, 4p = 12.
Step 4: Solve for 'p' by dividing 12 by 4, which gives p = 3.
Step 5: Determine the direction the parabola opens. Since 'p' is positive (p = 3), the parabola opens to the right.
Parabola Orientation – The orientation of a parabola can be determined from its equation. The standard form y^2 = 4px indicates that the parabola opens to the right if p is positive, to the left if p is negative, upwards if x is positive, and downwards if x is negative.
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