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3 years ago

State the rule that will result in the transformation below. (x,y) maps to (?, ?)

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

(x,y) maps to (-y,x).

Step-by-step explanation:

Use vertex I as an example.

Pre-image I is graphed at point (-3,2), while image I' is graphed at point (-2,-3) .

In order to change between these points, the x and y coordinates must be swapped, as well as multiplying the y coordinate by -1.

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MAVERICK [17]

It Would Be B x+3/x-3

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3 years ago

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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

$f(x) = \frac{3x-2}{x+1}$
$g(x)=x+5$
f[ -4 ] = ?
g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

$f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}$

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

$g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13$

Therefore, the value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

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2 years ago

What distance is shorter 3/4 or 2/4

dolphi86 [110]

2/4 is shorter distance. I think. Hope its helps !!!!!!!

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3 years ago

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Please help , thank you !!!!!!1

Lynna [10]

Answer is 7.
55+5X=90
5X=90-55
5X=35
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X=7

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3 years ago

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Kryger [21]

Explanation If a figure is rotated around a centre point and it still appears exactly as it did before the rotation, it is said to have rotational symmetry.

Examples : A number of shapes like squares, circles, regular hexagon, etc. have rotational symmetry.

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