Answered

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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

19 Write An Equation Of A Parabola That Opens To The Left Has A Vertex At The Origin And A Focus At 4 0Tava class=

Sagot :

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

[tex]y^2=4px[/tex]

where p is -4

[tex]\begin{gathered} y^2=4(-4)x \\ y^2=-16x \\ \end{gathered}[/tex]

therefore if we isolate the x we obtain

[tex]x=-\frac{1}{16}y^2[/tex]

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