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mario62 [17]
3 years ago
9

What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?

Mathematics
2 answers:
ivolga24 [154]3 years ago
4 0
Translation to the left by 4 units
ss7ja [257]3 years ago
4 0

Answer:

horizontal translation  of 4 units left

Step-by-step explanation:

the graph of f(x)=|x| to the graph of g(x)=|4+x|

In g(x) , 4 is added with x

The rule of transformation is

f(x) -> f(x-a), horizontal translation  of 'a' units right

f(x) -> f(x+a), horizontal translation  of 'a' units left

f(x) -> f(x)+a, Vertical translation  of 'a' units up

f(x) -> f(x)-a, Vertical translation  of 'a' units down

When we compare f(x) and g(x), 4 is added with x

f(x) -> f(x+a), horizontal translation  of 'a' units left

So its a horizontal translation  of 4 units left

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Can someone explain this to me
Lynna [10]

Answer:

\huge\boxed{\sf tan \ 28 = x / 14}

Step-by-step explanation:

Since opposite and adjacent is given, we will use tan as trigonometric ratio.

Hence,

opposite = x , adjacent = 14 and \theta = 28

So,

\sf tan \theta = opposite / adjacent

tan 28 = x / 14

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
7 0
2 years ago
Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
Marked price of an article is rs 1500 what is selling price with 10 %vat<br><br><br><br>​
mote1985 [20]

Answer:

if no discount is allowed

MP = SP = 1500

sp with vat = sp = vat amount

vat amount = vat% of sp

                    = 10% 0f 1500

                    = 150

sp with vat = sp = vat amount

                   = 1500 + 150

                  =   1650

8 0
3 years ago
Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?
grandymaker [24]
Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39 
8 0
3 years ago
Please Help! I can’t figure this question out! Question is in the pic below..
padilas [110]
The answer is 68!!!!!!!!!
4 0
3 years ago
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