Question

19. Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (-4, 0).Tava

Answer 1

We have the next information

Parabola that opens to the left

Vertex a the origin (0,0)

Focus (-4,0)

then we will have the next form for the equation of the parabola

$y^2=4px$

where p is -4

$\begin{gathered} y^2=4(-4)x \\ y^2=-16x \\ \end{gathered}$

therefore if we isolate the x we obtain

$x=-\frac{1}{16}y^2$