All categories

3 years ago

Let f(x)=3x and g(x)=3x−3+2 .

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

Horizontal Translation of 3 units to the right

Vertical Translation of 2 units up

butalik [34]3 years ago

3 0

Answer:

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

Step-by-step explanation:

Let the parent function be f(x) = 3x

Now shift the parent graph down by 3 units

Rule : f(x)→f(x)-b

The graph f(x) shifted down by b units

So, According to rule f(x)→f(x)-3

So, new function becomes: f'(x)=3x-3

Now we are supposed to shift the graph 2 units up

Rule : f(x)→f(x)+b

The graph f(x) shifted up by b units

So, According to rule f'(x)→f'(x)+2

So, the new function is g(x) = 3x-3+2

Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

You might be interested in

Anya’s team won 5 out of every 7 games this season.

spin [16.1K]

Answer:

20 out of 28 games.

Step-by-step explanation:

28 divided by 7 is 4.

5 times 4 is 20.

20 out of 28 games.

(This is simple math honestly.)

7 0

2 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = $\frac{180-120}{2}=30$

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = $\frac{DC}{AC} =\frac{4}{x}$

Since DCB is a straight line m∠ACD+m∠ACB =180

m∠ACD = 180-m∠ACB = 60

Hence $cos(60)=\frac{4}{x}$

$x=\frac{4}{cos60}= 8$

Now let us consider ΔBDE, sin(∠DBE) = $\frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}$

$DE = 12sin(30) = 6cm$

7 0

3 years ago

The answer please for my online class

Eddi Din [679]

Answer:

B. -500

Step-by-step explanation:

$\dfrac{(2a^4)^2}{a^0a^5} =$

$= \dfrac{2^2a^8}{a^5}$

$= 4a^3$

$= 4(-5)^3$

$= 4(-125)$

$= -500$

3 0

2 years ago

How do I convert radians to degrees? Is it pi/180 or 180/pi? I get them confused! Thanks

o-na [289]

It could be either one, depending on whether you intend to multiply or divide.

When you convert, just remember that degrees ==> less radians,
and radians ==> more degrees. Then you can always check the
results, and make sure that you used the right conversion factor
in the right direction.

5 0

3 years ago

Read 2 more answers

The triangle STU shown on the coordinate grid below is reflected once to map onto triangle S'T'U': Triangle STU drawn on a 4 qua

Andreyy89

Given that triangle <span>STU is reflected once to map onto triangle S'T'U'.
Given that triangle STU has vertices S(8, 6), T(2, 2), U(5, 1).

If vertex T' is at (2, −2), this means that triangle STU is refrected across the x-axis.

A refrection across the x-axis results in an image that has the same x-value as the pre-image but a y-value that has the opposite sign of the y-value of the pre image.

Thus, a point, say (x, y), refrected over the x-axis will result in an image with coordinate (x, -y)

Therefore, given that the coordinate of S is (8, 6), then the coordinates of vertex S'</span> is (8, -6).

4 0

3 years ago