2 years ago

Select all the points that are on the graph of the line

Mathematics

1 answer:

Stolb23 [73]2 years ago

4 0

Answer:

(0,-3), (-5,-5)

Step-by-step explanation:

Plug in x and y and see in which case = -15

-2(0)+5(5)= 25 no

-2(0)+5(-3)= -15 yes

-2(-5)+5(-1)= 5 no

-2(-5)+5(-5)= -15 yes

-2(10)+5(-1)= -25 no

-2(-10)+5(7)= 55 no

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What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

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The directrix of the parabola is $y = \frac {-49}{16}$

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

$\frac 14(y + 3) = (x -2)^2$

A parabola is represented as:

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

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

$y = -3 - \frac 1{16}$

Take the LCM

$y = \frac {-16 * 3- 1}{16}$

Evaluate

$y = \frac {-49}{16}$

Hence, the directrix of the parabola is $y = \frac {-49}{16}$