How can you reflect over X=Y

2 answers:

5 0

X = y is the same thing as y = x.

When reflecting over y = x, the formula is (x,y) --> (y,x). Basically, the x-coordinate and y-coordinate change places.

For example, (-2, 0) would become (0, -2).

Hope this helps!

mote1985 [20]2 years ago

3 0

If you want to reflect a function over y = x line, write x in terms of y first and then interchange y with x.
For example,
If you want to reflect y = 2x+3, write it as,
y = 2x + 3
y-3 = 2x
∴ x = (y-3)/2
Now, interchange x and y
∴ y = (x-3)/2

Therefore, y = (x-3)/2 is the reflection of y = 2x+3 over X = Y line.

You might be interested in

a contractor needs to purchase 500 bricks. the dimensions of each brick are 5.1 cm by 10.2 by 20.3 cm, and the density of each b

AveGali [126]

No, the trailer cannot hold the weight of the bricks. It is beyond the 900kg capacity of the trailer. The total weight of the bricks is 1,013.77 kilograms. The total weight was derived from getting the volume of the brick (0.051m x 0.102m x 0.203m), then multiplying the volume to the density of each brick (1.056 x 10^3m^3 x 1920kg/m^3). The weight of each brick is 2.03kg. Lastly, multiply the total number of bricks to the weight of each brick to get the total weight.

5 0

3 years ago

F(x)=<img src="https://tex.z-dn.net/?f=%28x%2B1-%7Cx-1%7C%29%2F2" id="TexFormula1" title="(x+1-|x-1|)/2" alt="(x+1-|x-1|)/2" ali

katrin [286]

Answer:

$f(g(x))=\dfrac{|x|+1-||x|-1|}{2}$

Step-by-step explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

$f(g(x))=\dfrac{|x|+1-||x|-1|}{2}$

8 0

3 years ago

Tommy purchased a riding lawnmower with an original value of $2,500. If the value of the riding lawnmower decreases by $300 per

Eva8 [605]

Answer:

$1000.

Step-by-step explanation:

Let x represent number of years.

We have been given that Tommy purchased a riding lawnmower with an original value of $2,500. The value of the riding lawnmower decreases by $300 per year. We are asked to find the value of lawnmower after 5 years.

Since the value of the riding lawnmower decreases by $300 per year, so value of lawnmower decrease in 5 years would be 5 times $300.

The final value of lawnmower would be initial value minus value decreased in 5 years.

$\text{The value of the lawnmower after five years}=\$2500-\$300(5)$