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seraphim [82]
3 years ago
13

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to 3f(x)?

Mathematics
2 answers:
AlladinOne [14]3 years ago
5 0

Answer:

The graph is compressed vertically.

Step-by-step explanation:

The parent function is f(x) = |x|.

Now, some of the solution of this function are

At x = 0, f(x) = 0

At x = 1, f(x) = 1

At x = 2, f(x) = 2

At x = - 1, f(x) = 1

Now, if we replace, f(x) by 3f(x), then we get the equation f(x) = \frac{1}{3} |x|.

Now, the few solutions of the function are  

At x = 0, f(x) = 0

At x = 1, f(x) = \frac{1}{3}

At x = 2, f(x) = \frac{2}{3}

At x = - 1, f(x) = \frac{1}{3}

Therefore, the f(x) values are reduced by the factor \frac{1}{3}.

So, the graph is compressed vertically. (Answer)

lina2011 [118]3 years ago
5 0

Answer:

a) Stretched vertically.

Step-by-step explanation:

The product of a function and a real number greater than 1 mean that resultant function is stretched vertically.

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Order these numbers from least to greatest. −3.12 , −3.2 , 8 , −5216
trapecia [35]
From the least to the greatest.

The one with the biggest size and has a negative sign is the least

-5216, -3.2, -3.12, 8
8 0
3 years ago
Find the square. (1/4A + 1/4B)^2<br><br> a) 1/16A^2 + 1/8AB + 1/16B^2<br> b) 1/4A^2 + 1/8AB + 1/4B^2
alisha [4.7K]

(a + b)^2 = a^2 + 2ab + b^2

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B^2

Answer: A.

Another way to solve by factoring 1/4.

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= [\dfrac{1}{4}(A + B)]^2

= (\dfrac{1}{4})^2(A + B)^2

= \dfrac{1}{16}(A^2 + 2AB + B^2)

= \dfrac{1}{16}A^2 + \dfrac{1}{16}2AB + \dfrac{1}{16}B)^2

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B)^2

6 0
3 years ago
Read 2 more answers
How to solve this and explain
Goryan [66]
You first wanna find <BAD, because if AB is perpendicular to AC, then it has to form a 90 degree angle. So 90-56=34 degrees. So now you have a 34 & 63 degrees in the ABD triangle. In a triangle, all angles add up to equal 180 degrees. So 34+63+x=180...and x=83. So <ADB= 83 degrees. Now you want to find angle ADC...which you can just subtract 83 from 180 (because <ADB & <ADC forms 180 degree angle). You will then get 97 as angle ADC. So, the same thing as before, add up 56+97+x=180, because all angles (in the triangle ADC) add up to be 180 degrees. X will then equal 27 degrees. Angle ACB= 27 degrees.
5 0
3 years ago
5. Find the value of x.
goldfiish [28.3K]

Answer:

x = 70

Step-by-step explanation:

Interior angles of a 4 sided shape = 360

80+70 = 150

360-150 = 210

210/3 = 70

8 0
3 years ago
Question 9<br> The triangles shown are
yaroslaw [1]

Answer:

The triangles shown are<u> proportional</u>

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

6 0
3 years ago
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