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Svetradugi [14.3K]
2 years ago
8

Describe the transformations necessary to transform f(x) into g(x)

Mathematics
1 answer:
Aleks [24]2 years ago
6 0

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

  • x -> 3x, hence the function is horizontally compressed by a factor of 3.
  • y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

  • x -> x - 3, hence the function is shifted right 3 units.
  • y -> 2y, hence the function is vertically stretched by a factor of 2.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Which congruent theorem can be used to prove..
hjlf

Answer:

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

5 0
3 years ago
How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?
adell [148]
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this: 

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared. 

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)

Hope this helps!
8 0
3 years ago
From a barrel of colored marbles, you randomly select 1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles. Find the experimen
dybincka [34]

Answer:

8/9

Step-by-step explanation:

1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles

The number that are not yellow = total - yellow

P( not yellow) = number that are not yellow / total

                       = (18-2) / 18

                       = 16/18

                       =8/9

3 0
2 years ago
What is the y-intercept of y = 5x - 1?​
Serhud [2]

Answer:

Given Equation: y=5x-1

as we know that the y intercept have, x coordinate(absicasse) equal to 0

so,put x=0 to get y intercept

i.e, y =5×0 -1

i.e, y= <em><u>-</u></em><em><u>1</u></em>

✌️:)

8 0
3 years ago
What is 1755 divide by 27
Zielflug [23.3K]
Your answer is 65. :)
7 0
2 years ago
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