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anyanavicka [17]
2 years ago
5

Please someone help me solve this question

Mathematics
1 answer:
miv72 [106K]2 years ago
4 0

Answer:

  D.  right 4, down 8

Step-by-step explanation:

The usual transformations applied to functions are ...

  f(x) ⇒ f(x -h) . . . . translation right h units

  f(x) ⇒ f(x) +k . . . . translation up k units

  f(x) ⇒ k·f(x) . . . . . vertical scaling by a factor of k; reflection over x-axis when k < 0

  f(x) ⇒ f(x/k) . . . . . horizontal scaling by a factor of k; reflection over y-axis when k < 0

In the above, "scaling" will be expansion when |k| > 1, compression when |k| < 1.

__

Your transformation is ...

  x^2 ⇒ (x -4)^2 -8

  f(x) ⇒ f(x -4) -8

This is translation with h=4 and k=-8. That is, it is translation right 4 units and down 8 units.

_____

<em>Additional comment</em>

Like much of math, it is all about matching patterns.

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What are the factors in 6x(x+3)?
VladimirAG [237]

Answer:

The factors are 0 and -3

Step-by-step explanation:

In order to find the factors of this equation, you would have to set each term 6x and (x + 3), equal to 0 separately.

6x = 0

x = 0

x + 3 = 0

x = -3

7 0
4 years ago
What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum​
Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

A=P\left(1+\dfrac{r}{100}\right)^t

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting A=8700,r=24,t=3, we get

8700=P\left(1+\dfrac{24}{100}\right)^{3}

8700=P\left(1+0.24\right)^{3}

8700=P\left(1.24\right)^{3}

8700=1.906624P

Divide both sides by 1.906624.

\dfrac{8700}{1.906624}=P

4563.0391729=P

P\approx 4563.04

Therefore, the principal value is about 4563.04.

8 0
3 years ago
What is the product of (-2x)(-6x^4)?
yaroslaw [1]

Answer:

12x^5

Step-by-step explanation:

(-2x)(-6x^4)

Multiply the numbers

-2 * -6 = 12

Multiply the variables

x* x^4 = x^5

12x^5

3 0
3 years ago
Determine the direction that is parábola opens: y=4x^2+8x+2
marissa [1.9K]
It should open up because the a which is 4 is positive
5 0
3 years ago
Please explain step by step
Alja [10]

Let's find the value of x

Since the sum of internal angles of a triangle is 180°

therefore,

\hookrightarrow \: (2x - 2) \degree + (x + 5) \degree + 90 \degree = 180 \degree

\hookrightarrow \: 2x - 2 \degree + x + 5\degree  = 180\degree - 90\degree

\hookrightarrow \: 3x + 3\degree = 90\degree

\hookrightarrow \: 3(x + 1) = 3(30)

\hookrightarrow \: x + 1\degree = 30\degree

\hookrightarrow \: x = 29\degree

4 0
3 years ago
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