All categories

3 years ago

If T: (x, y) → (x - 3, y + 2), then T -1: (x,y) → _____.

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

Answer:

(x + 3, y - 2)

Step-by-step explanation:

we know that

The rule of the transformation T is equal to

T: pre-image → image

T: (x, y) → (x',y')

T: (x, y) → (x - 3, y + 2)

x'=x-3 ----> x=x'+3

y'=y+2 ----> y=y'-2

The rule of the inverse of transformation T -1 is equal to

T-1: image → pre-image

T-1: (x', y') → (x,y)

T-1: (x', y') → (x'+3, y'-2)

You might be interested in

Use the Parabola tool to graph the quadratic function. f(x)=2x^2−12x+19 Graph the parabola by first plotting its vertex and then

Debora [2.8K]

To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form $f(x)=x^2+bx+c$ it vertex $(h,k)$ is given by $h= \frac{-b}{2a}$ , $k=f(h)$ .
We can infet from our parabola that $a=2$ and $b=-12$ . So lets replace those values in our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-12)}{2(2)}$
$h= \frac{12}{4}$
$h=3$
$k=f(h)=2(3)^2-12(3)+19$
$k=2(9)-36+19$
$k=18-17$
$k=1$
The vertex $(h,k)$ of our parabola is $(3,1)$

Now to find our second point, we are going to evaluate our parabola at $x=0$
$f(0)=2(0)^2-12(0)+19$
$f(0)=0+0+19$
$f(0)=19$
Our second point is $(0,19)$

We can conclude that we can graph the parabola $f(x)=2x^2-12x+19$ using its vertex $(3,1)$ and the point $(0,19)$ as follows:

7 0

3 years ago

doug got 8 out of 10 questions correct on his math quiz. If each question was worth the same number of points, and the test was

melamori03 [73]

Answer:

Each answer correct is 5 points so Doug got 40 points.

Step-by-step explanation:

5 0

2 years ago

Hillel is juggling flaming torches to raise money for charity. His initial appearence raises $500, and he raises $15 for each mi

7nadin3 [17]

Answer:

r(t) = 15t+500

Step-by-step explanation:

Since the amount of money (r) is a function of the time (t) we will make it the y-value. t is how much time and he gets $15 a minute so we multiply t by 15. 500 is how much he gets paid for doing it. If he showed up and just left, he would still get 500.

8 0

3 years ago

Which function displays the fastest growth as the x-values continue to increase?

Volgvan

D. q(x)
it is the only exponential function
y is multiplied by 2 each time c increases by 1

8 0

2 years ago

When Romano win out with her three sisters I spent 58+9% tax on the meal they are solar 15% to a very divided it up the bill eve

umka21 [38]

Answer:

I'm not sure what the answer you are looking for is but if it is 58 + 9%, plus 15% more, that would be 72.703

8 0

3 years ago