18.04.2022

A parabola, whose directrix is represented by the dotted line, is shown on the graph below.







Which of the following best represents the equation of the parabola in standard form?

. 2

Step-by-step answer

15.12.2022, solved by verified expert
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Answer:

(y-2)^2 = 8(x+2)

Step-by-step explanation:

Here the vertex of the parabols is (-2, 2) 

The equation is of the form of 

(y-k)^2 = 4A(x-h) .....(1)

Where (h,k) is the vertex of the parabola. 

Here h = -2 and k = 2 

Putting these values in (1) 

(y-2)^2 = 4A(x+2) 

A is the distance of the focus from the vertex. Coordinate of focus of the parabols is (0,2) 

A = 2 

Therefoe, equation is 

(y-2)^2 = 4*2(x+2) = 8(x+2)

Eq. of the parabola in standard form is given as: 

(y-2)^2 = 8(x+2)

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