a general formula for a parabola is $x^{2}=4py$. what is the value of $p$ in the equation $x^{2}=12y$?\n$p =…
a general formula for a parabola is $x^{2}=4py$. what is the value of $p$ in the equation $x^{2}=12y$?\n$p = 3$\n$p = 4$\n$p = 6$\n$p = 12$
Answer
Explanation:
Step1: Compare the two equations
Given $x^{2}=4py$ and $x^{2}=12y$.
Step2: Equate the coefficients of $y$
Since the left - hand sides are equal, we have $4p = 12$.
Step3: Solve for $p$
Divide both sides of $4p = 12$ by 4, so $p=\frac{12}{4}=3$.
Answer:
$p = 3$