All categories

3 years ago

Using function notation, describe the transformation. x^2+y^2=1 --> (x-7)^2 + (y+4)^2 = 1

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Step-by-step explanation:

<u>Step 1: Describe the transformation</u>

The formula of transformation for this equation is $(x - k)^2 + (y - b)^2 = 1$

If k or b has a positive sign in the formula, that means that the you move it to the negative direction. If k or b has a negative sign in the formula, that means that you move it to the positive direction.

So if we have $(x - 7)^2,$ that means we move the x value to the positive direction 7 units.

So if we have $(y + 4)^2$ , that means we move the y value to the negative direction 4 units.

Answer: To the right 7 units and down 4 units.

Fiesta28 [93]3 years ago

3 0

Answer:

f(x - 7) - 4

Translation: < 7 , -4 >

Step-by-step explanation:

x^2+y^2=1

Centre: (0,0)

(x-7)^2 + (y+4)^2 = 1

Centre: (7,-4)

Translation: < 7 , -4 >

If the first function is f(x), the transformed function is:

f(x - 7) - 4

You might be interested in

you have piano lessons every fourth day and guitar lessons every sixth day. Today you have both lessons. In how many days will y

Gekata [30.6K]

In twelve days four and six both go into 12

3 0

4 years ago

Read 2 more answers

La cena de Aubrey cuesta $85. Ella deja 30% de propina por el exelente servicio ¿Cuánto dejó Aubrey de propina?

Sophie [7]

Answer:

$25.50

Step-by-step explanation:

85 X 0.3 (30%)=25.5

$25.50

4 0

3 years ago

What is the probability of choosing a card from a deck of cards that is a club or a ten? Is this event mutually

taurus [48]

Answer:

Hey there!

There are 13 clubs in a deck of cards.

There are 4 tens.

However, the tens overlap with the clubs, so there are 16 cards to choose.

16/52=4/13

Let me know if this helps :)

4 0

4 years ago

Plzzzzzzzzzzzzzzzzz help

Tanya [424]

Yes $=16xDays
Its directly proportional

6 0

3 years ago

Find the solutions of the following equations by extracting square roots 9x2-16=0 (z-2)2-36=0

natta225 [31]

The solutions of the equation $9x$ ² - 16 = 0is 4/3 and -4/3 and that of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

Solving the both quadratic equations by extracting square roots:

$9x^{2} - 16 = 0$

⇒ $9x^{2} = 16$

∴ On taking square-root of both sides, we get

$\sqrt{9x^{2} }$ = $\sqrt{16}$

⇒ $3x =$ $+4$ and $3x = -4$

⇒ $x$ = 4/3 and $x$ = -4/3

For the equation, $(z - 2)^{2} - 36 = 0$ , the solution is:

$(z - 2)^{2} - 36 = 0$

⇒ $(z - 2)^{2} = 36$

∴ On taking square-root of both sides, we get

$\sqrt{(z - 2)^{2} } = \sqrt{36}$

⇒ (z - 2) = 6 and (z - 2) = -6

⇒ z = 6 +2 and z = -6 + 2

⇒ z = 8 and z = -4

The solution of the equation $9x^{2} - 16 = 0$ is 4/3 and -4/3.

The solution of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

For similar equation, visit here:

brainly.com/question/18397338

#SPJ4

7 0

2 years ago