3 years ago

The equation of a parabola with a vertex as the origin is y2=−4px. If 4p=12, what is the equation of the directrix?

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

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Weekly math review-Q1.6

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Answer:

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Step-by-step explanation:

-11 - 8x = -3x + 19 (Move constants to right side)

-8x = -3x + 19 + 11 (Move x to left side)

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Answer:

$y = \frac{2}{3}x + \frac{23}{3}$

Step-by-step explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

$y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)$

Convert to slope intercept form by using the distributive property.

$y - 5 = \frac{2}{3}(x+4)\\y - 5 = \frac{2}{3}x +\frac{8}{3}\\y = \frac{2}{3}x + \frac{8}{3} + 5\\y = \frac{2}{3}x + \frac{23}{3}$

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