laneyconn laneyconn
  • 17-09-2021
  • Mathematics
contestada

identify the focus directrix and axis of symmetry of 3x =y2

please help no links!!!

identify the focus directrix and axis of symmetry of 3x y2 please help no links class=

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cwrw238 cwrw238
  • 17-09-2021

Answer:

Below in bold.

Step-by-step explanation:

y^2 = 3x is a parabola which is symmetrical about the x-axis and opens to the right.

The general form is y^2 = 4ax where the focus is at (a, 0) and directrix is y = -a.

So for the given parabola,  y^2 = 3x:

4a = 3

a = 3/4.

So the focus is (3/4, 0) and directrix is y = -3/4.

Axis of symmetry is  y = 0     (that is the x axis).

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