Question

question 1 of 10
the focus for this parabola is (0,3).
$x^{2}=12y$
a. true
b. false

Explanation:

Step1: Recall parabola equation form

The standard - form equation of a parabola with its vertex at the origin and opening upwards is $x^{2}=4py$, where $(0,p)$ is the focus.

Step2: Identify the value of $p$

Given the equation $x^{2}=12y$, comparing it with $x^{2}=4py$, we have $4p = 12$. Solving for $p$, we get $p=\frac{12}{4}=3$.

Step3: Determine the focus

Since $p = 3$, the focus of the parabola $x^{2}=12y$ is $(0,3)$.

Answer:

A. True