Question

question 9 of 10 the equation for the directrix of this parabola is x = -12. x² = 12y a. true b. false

Explanation:

Step1: Recall parabola standard - form

The standard - form of a parabola opening upwards is $x^{2}=4py$.

Step2: Identify $p$ value

Given $x^{2}=12y$, comparing with $x^{2}=4py$, we have $4p = 12$, so $p=\frac{12}{4}=3$.

Step3: Determine directrix equation

For a parabola of the form $x^{2}=4py$ opening upwards, the directrix equation is $y=-p$. Here, $y = - 3$, not $x=-12$.

Answer:

B. False