Question

Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1

Answer 1

The vertex of the parabola is (1, 2), focus of the parabola is  (-2, 2), and directrix x = 4.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

$\rm x = -\dfrac{1}{12}(y-2)^2+1$

The standard form of the parabola:

$\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h$

(h, k) is the vertex of the parabola and (f, k) is the focus.

$\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1$

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

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