Question

find an equation for the parabola that has its vertex at the origin and has its focus at the point: $(-2.7,0)$. enter your answer as an equation. note: answer should be exact...no rounding. question help: video written example

Explanation:

Step1: Identify parabola direction

Vertex at origin, focus at (-2.7,0) → opens left. Equation: $y^2 = 4px$.

Step2: Find p value

Focus is (p,0) → $p = -2.7 = -\frac{27}{10}$.

Step3: Calculate 4p

$4p = 4\times(-\frac{27}{10}) = -\frac{54}{5}$.

Step4: Write equation

Substitute 4p into formula: $y^2 = -\frac{54}{5}x$.

Answer:

$y^2 = -\frac{54}{5}x$