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Iteru [2.4K]
2 years ago
5

Please give me the correct answer ​

English
1 answer:
kari74 [83]2 years ago
5 0
The answer is the second option
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A parabola is represented by the equation y2 = 5x. Which equation represents the directrix? Y = –20 x = –20 y = Negative five-fo
klio [65]

Answer:

x = - \frac{5}{4}

Explanation:

Given

y^2 = 5x

Required

Determine the directrix

First, we express the equation in form:

(y - k)^2 = 4p (x - h)

Where the directrix is:

x = h - p

So, we have:

y^2 = 5x

Rewrite as:

(y - 0)^2 = 5(x - 0)

Multiply the right hand side by 4/4

(y - 0)^2 = \frac{4}{4} * 5(x - 0)

(y - 0)^2 = 4* \frac{5}{4} (x - 0)

By comparison:

(y - k)^2 = 4p (x - h) and (y - 0)^2 = 4* \frac{5}{4} (x - 0)

k = 0

p =\frac{5}{4}

h = 0

The directrix is calculated as:

x = h - p

So:

x = 0 - \frac{5}{4}

x = - \frac{5}{4}

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