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3 years ago

point s has coordinates 2,5 if you rotate point s 90 degrees about the origin 0,0 what are the coordinates of s

Mathematics

1 answer:

Volgvan3 years ago

8 0

The answer is 2,-5 you put the points are in the same spot just rotated

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Reciprocal of 12 by 15 is

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the reciprocal is 15 by 12

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3 years ago

Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?

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Answer:

answer is d

Step-by-step explanation:

from question

g(x) = 2(3x) - 4 = 6x - 4

then put x = 1,2,3

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2 years ago

What is the angles mSRW?

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Answer:

126°

Step-by-step explanation:

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3 years ago

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

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3 years ago

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Answer:

Step-by-step explanation:

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