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Zepler [3.9K]
2 years ago
5

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(

x)=(x−4)2+2?
−4
−2
2
4
Mathematics
1 answer:
Dimas [21]2 years ago
7 0

The value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).

<h3>What is a function?</h3>

Function is a type of relation, or rule, that maps one input to specific single output.

We have given that parent function

f(x) = x^2

After translation of the parent function

g(x)=(x-4)^2+2

The General equation of parabola along y-axis

y=(x-h)^2+k

The vertex of the function is (h,k).

The given function is an equation of parabola along y-a xis.

By comparing the given function with the general equation of parabola,

The vertex of function f(x) is (0,0).

The vertex of function g(x) is (4,2).

Therefore, h of f(x) is a shift towards the right and then we can get h of g(x) =4.

Hence, the value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).

Learn more about function here:

brainly.com/question/2253924

#SPJ1

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Answer:

A=20 degrees

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Step-by-step explanation:

A=20 because a right angle always = 90 so 90-70=20

D=70 because I believe that angles C and D make a right angle, and C = 20 degrees, so we now subtract. 90-20=70

E=110 because D and E = a straight line, which is 180, and sense D is 70 degrees, all we need to do is subtract. 180-70 is 110, so our answer is 110

Hoped this helped, and let me know if I messed up somewhere.

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How can -6.75 + (10.25) be expressed as the sum of its integer and decimal parts
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Answer:

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Here, the integer part  =     ( (-6)  + (10))

Decimal part =   ( (-0.75) + (0.25))

Step-by-step explanation:

Here, the given expression is:    -6.75 + (10.25)

Now, -6.75  = (-6)  +  (-0.75)

Also, (10.25)  = (10)  + (0.25)

So, the expression can be written as

 -6.75 + (10.25)  =  (-6)  +  (-0.75) +  (10)  + (0.25)

                           = ( (-6)  + (10))  + ( (-0.75) + (0.25))

or,   -6.75 + (10.25)    =  ( (-6)  + (10))  + ( (-0.75) + (0.25))

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Answer:

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