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=-(1)/(16)y^2`