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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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6 0
3 years ago
In a school of 2000 students, 1150 do not like puzzles. 2/5 of the students travel to school by bus. 595 of the people that do l
Vadim26 [7]

The number of students who do not like puzzles and ride the bus to school is 205

To find the answer it is necessary to do the following procedure:

To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.

  • 2000 ÷ 5 = 400
  • 400 × 2 = 800

From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.

Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)

  • 800 - 595 = 205

So the answer is 205 students ride the bus and they don't like puzzles.

Learn more at: brainly.com/question/24558946

6 0
1 year ago
•** Plss help me **•
VashaNatasha [74]

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

4 0
1 year ago
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