1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
11

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

) = f(-10x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 10.
B.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 10.
C.
It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10.
D.
It is the graph of f(x) reflected about the x-axis and stretched horizontally by a factor of 10.
Mathematics
1 answer:
matrenka [14]3 years ago
5 0

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C

Step-by-step explanation:

Let us revise some transformation

A vertical stretching is the stretching of the graph away from the x-axis

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.

∵ f(x) = x

∵ g(x) = f(-10x)

- Substitute x by -10x

∴ g(x) = -10x

∵ x is changed to 10x

- x multiplied by a number means shrink or stretch horizontally

∵ k = 10

∵ 10 > 1

∴ The graph of f(x) is shrunk horizontally by a factor of 10

∵ The value of g(x) is negative

- The negative sign of g(x) means reflection across x-axis

∴ The graph of f(x) is reflected about the x-axis

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

You might be interested in
Solue for X <br>will give brainliest <br>don't put links or will be reported ​
stellarik [79]
X is 5 in this case!!!!hope it helps
4 0
3 years ago
Read 2 more answers
PLEASE HELP!!! I am stuck!
labwork [276]

1/3 has the largest value.

4 0
3 years ago
Read 2 more answers
140 subtracted from the square of a number the result is three times the number find the negative solution
natima [27]

Answer:

Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.

5 0
3 years ago
Brandon is buying 8 pounds of green apples and 5 pounds of red apples to make apple pies. Both types of apple costs $1.49 per po
Norma-Jean [14]
Green Apples: $11.92
Red Apples: $7.45
 In total, Brandon will spend $19.37. 
3 0
3 years ago
Read 2 more answers
Which equation could be used to
Vika [28.1K]
D sounds like the best answer math can be hard tho
3 0
3 years ago
Other questions:
  • 4 bags of cement do 18m^2, how many m^2 can be done with 7 bags
    14·1 answer
  • What is the value of the digit 6 in the number 26,503?
    12·2 answers
  • What is 28/49 in simplest form?
    7·1 answer
  • Joe counts 250 peach trees on 25% of the land he owns he determined that there are 10 trees for every 1000 square feet of land.H
    6·1 answer
  • If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 5, what is the equation of the new function?
    10·1 answer
  • Chloe collected 4 times as many bags of cans as her friend. If her friend college 1/6 of a bag, how much did Chloe collect?
    15·1 answer
  • The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
    6·1 answer
  • Rewrite the expression in the form b^n
    11·1 answer
  • What is the first step in solving the following equation:<br><br> −1\2x − 33 = 33
    7·2 answers
  • Explain how to use the order of operations to evaluate numeric expressions.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!