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sergiy2304 [10]
3 years ago
14

A parabola is represented by the equation y2 = 5x. Which equation represents the directrix? 

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

x=-\frac{5}{4}

Step-by-step explanation:

Given equation,

y^2=5x-----(1)

Which is the equation of a parabola along x-axis,

From equation (1),

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

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

We know that, the standard form of a parabola along x-axis is,

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

Where, the directrix is,

x = h-p

By comparing equation (2),

The directrix of the given parabola is,

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

zalisa [80]3 years ago
4 0

Answer:

On ed its x = -5/4

Step-by-step explanation:

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