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Nesterboy [21]
3 years ago
11

If you apply the changes below to the absolute value parent function, f(x) = |Xl,

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

• Shift 5 units to the left  >>>  f(x) = |x+5|

• Shift 4 units down >>>  f(x) = |x| - 4

Step-by-step explanation:

If we have the parent function:

f(x) = |x|

<u>For horizontal translations:</u>

  • |x-a| means horizontally translated a units right
  • |x+a| means horizontally translated a units left

<u>For Vertical translation:</u>

  • |x| + b means vertically translated b units up
  • |x| - b means vertically translated b units down

From the translation rules, we can say:

Shift 5 units left would be:

|x+5|

and

Shift 4 units down would be:

|x| - 4

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Y=x^2+2;D:-1, 0, 1, 2, 3
IrinaK [193]

For the various values of X the values of Y are given as follows

X=-1; Y=3

X=0; Y=2

X=1; Y=3

X=2; Y=6

X=3; Y=11

Step-by-step explanation:

Step 1:

Let us consider the given expression as

Y= X^{2} + 2

Step 2:

Let us discuss the value of Y for the various values of X

If X = -1, Y = (-1)² + 2 = 3

If X = 0, Y = (0)² + 2 = 2

If X = 1, Y = (1)² + 2 = 3

If X = 2, Y = (2)² + 2 = 6

If X = 3, Y = (3)² + 2 = 11

8 0
3 years ago
A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
WARRIOR [948]

I suppose a DJ wants to select 4 different songs, then there are: 12*11*10*9 = 11880 ways to choose them.

If the order of the songs he plays doesn't matter, there are: \frac{12 * 11 * 10 *9 }{4!} = 495 ways to choose them.

7 0
3 years ago
Read 2 more answers
Determine the value of w and x in the figure below. (Thanks for the help I really appreciate it!)​
storchak [24]
Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.

so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )

angles on a straight line add up to 180.
180-37=143 ( angle x )

since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )
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3 years ago
0.54,0.45,0.405,0.054 in order smallest first
kifflom [539]

Answer:

0.054, 0.405, 0.45, 0.54

5 0
3 years ago
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9 to the power 3 + 3 to the power 2 + 6 to the power 3 + 15 power 2 equals to how much
Llana [10]
Hey! So, here's a tip. When writing exponents, an easier way is to write a^b, rather than a to the b power. Besides that, here is your answer!


So-------

9^3=729

3^2=9

6^3=216

15^2=225



Now that we have that figured out, we can add them together, wish is simple. 729 + 9 + 216 + 225= 1,179.



Therefore, your final answer will be 1,174.




If you have any questions on this, I'm happy to help you. :)




3 0
3 years ago
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