QuestionFind the equation for the parabola that has its focus at the $\left(\frac{5}{4},-3\right)$ and $h$ directrix at $x=\frac{35}{4}$. equation is $$(y+3)^{2}=30(x-9.375)$$ Video 1 Video 2 Post to forum

Studdy Solution
Verify the given equation.
The given equation is:
$$(y + 3)^2 = 30(x - 9.375)$$
Check if this matches the derived equation:
The derived equation is:
$$(y + 3)^2 = 15(x - 5)$$
The given equation does not match the derived equation. The discrepancy suggests that the given equation might be incorrect based on the provided focus and directrix.
The derived equation for the parabola is:
$$\boxed{(y + 3)^2 = 15(x - 5)}$$