The function of g(x) is a transformation of the absolute values parent function which graphs shows g(x)
Answers
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Explanation:
f(x) is shown in the blue dashed line, while g(x) is a solid black line.
When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.
This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.
The vertex of each V shape is the same and that's at the origin (0,0).
No translations (horizontal or vertical shifting) are occurring.
The graph that shows the function g(x) = 3|x| is graph B.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)
Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.
Hence graph B is correct.
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Related Questions
Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]
Answers
Answer:
a = 4.
Step-by-step explanation:
We know that:
[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]
is a singular matrix, now we want to find the value of a.
We know that a matrix is singular if:
Det [A] = 0
Where remember that the determinant of a 2x2 matrix is given by:
[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]
Then the determinant of A is:
Det [A] = 4*3 - a*3
and that must be zero, so:
4*3 - a*3 = 0
Now we just need to find the value of a:
12 - a*3 = 0
12 = a*3
12/3 = a
4 = a
So the value of a is 4.
Solve 4(x - 3) - 2x - 1) > 0
Answers
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
I need help again plz
Answers
6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24
9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points
Answers
Answer:
Step-by-step explanation:
5n⁵c⁻⁵ * 2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³
=10*n° *c⁻³
= 10c⁻³ (n° = 1}
[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]
Determine the intercepts of the line.
y
=
11
x
+
6
Answers
Answer:
intercepts are (-6/11 , 0) and ( 6,0 )
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answers
Explanation:
D = x
H = x + 5
R = 2x
Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2
which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6
Answers
what is the measure of each exterior angle of a regular dodecagon?
Answers
Answer:
30°
Hope this answer is right!
Step-by-step explanation:
to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
f(x)
g(x)
A. -5
B. -1/5
C. 1/5
D. 5
Answers
===========================================================
Explanation:
The point (-2,2) is on the red f(x) line. This point is marked in black.
It corresponds to the point (-2,-10) on the g(x) blue line.
The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".
-5*2 = -10
So we see that k = -5
Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)
Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".
Answer:
-5
y = -x + 4 (red)
y=5x -20 (blue)
-5*(-x+4) = 5x-20
Step-by-step explanation:
Please helppppppp meeee
Answers
Answer:
angle K is 30 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees
Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).
Answers
Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
Answer:
r = 14
Step-by-step explanation:
4r + 2(r - 8) = 4(3 + r)
4r + 2r - 16 = 12 + 4r
6r - 16 = 12 + 4r
6r - 4r - 16 = 12 + 4r - 4r
2r - 16 = 12
2r - 16 + 16 = 12 + 16
2r = 28
2r ÷ 2 = 28 ÷ 2
r = 14
change from improper fraction to mix number 51/7
Answers
Answer:
7 3/7
Step-by-step explanation:
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answers
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
SOMEBODY PLEASE HELP
Answers
Answer:
x=40
Step-by-step explanation:
1/5x=8
x=8*5=40
x=40
Please help I’ll give brainllist
Answers
What is the inverse of the function f(x) = x +3?
Answers
Answer:
The inverse is x-3
Step-by-step explanation:
y = x+3
To find the inverse, exchange x and y
x = y+3
Solve for y
x-3 = y+3-3
x-3 =y
The inverse is x-3
Answer:
x - 3
Step-by-step explanation:
f(x) = x + 3
y = x + 3
x = y - 3
Inverse is h(x) = x - 3
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
Answers
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
pls tell me the correct option
Answers
Answer: I would go with C I hope i am right!!
Step-by-step explanation:
Answer:
b. [tex] \frac{1}{16} [/tex]
Step-by-step explanation:
A = {2, 3}
B = {4, 6}
C = set of all possible fractions where, the numerators are in set A and the denominators are found in Set B
The 4 possible fractions we can get for set C are as follows:
Set C: { [tex] \frac{2}{4} [/tex] , [tex] \frac{2}{6} [/tex] , [tex] \frac{3}{4} [/tex] , [tex] \frac{3}{6} [/tex] }
Multiply all to get the product of all elements in Set C:
[tex] \frac{2}{4}*\frac{2}{6}*\frac{3}{4}*\frac{3}{6} [/tex]
Simplify where necessary
[tex] \frac{1}{2}*\frac{1}{3}*\frac{3}{4}*\frac{1}{2} [/tex]
[tex] \frac{1*1*3*1}{2*3*4*2} [/tex]
[tex] \frac{3}{48} [/tex]
Simply further
[tex] \frac{1}{16} [/tex]
Use the number line to find the measure of SV
Answers
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!
Answers
Answer:
A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.
Answer:
I would go with D
Step-by-step explanation:
Because there are 4 possibilities.
1) they both land heads up
2) they both land tails up
3) one lands heads up and the other tails up
4) one lands tails up and the other heads up
Hope this helps!
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone
Answers
Explanation: The two equal eachother, that would mean that the corresponding angles equal eachother as well as the other side length. Let me know if otherwise.
Find the measure of angle "b"
Answers
Answer:
43°
Step-by-step explanation:
Angle B is congruent to the opposite angle.
pls help I'll mark brainliest
Answers
Answer:
305°
Step-by-step explanation:
The angle between the north line at L and the line connecting PL is
125° (75° + 50° ) ← alternate angle between parallel lines
Then
bearing of P from L is 180° + 125° = 305°
Fill in the blank with <,> or = . 11.01-----11.001
Answers
Answer: Greater than sign
In other words, 11.01 > 11.001
========================================================
Explanation:
For each given number, move the decimal point 3 spots to the right.
The value 11.01 becomes 11010
The value 11.001 becomes 11001
Since 11010 > 11001, this means 11.01 > 11.001
---------------
As an alternative method, you can subtract the values to see which is larger
The rule or idea is that
(large) - (small) = positive(small) - (large) = negativeFor example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.
In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001
The volume of a cylinder, V, in terms of radius, r,
and height, h, is given by V = πr 2
h. If a cylinder has
a height of 6 meters, express the radius as a function
of V and find the radius of a cylinder with volume of
300 cubic meters.
Answers
Answer:
See explanation
Step-by-step explanation:
Volume of a cylinder = πr²h
Solve for r
V = π * r² * h
r² = V/πh
Find the square root of both sides
r = √V/πh
If height = 6 meters and volume = 300 cubic meters. Find r
r = √V/πh
= √(300/3.14*6)
= √(300/18.84)
= √15.923566878980
r = 3.9904344223381
Approximately,
r = 4 meters
Help please guys! Thank youuu
Answers
Answer:
Step-by-step explanation:
12b + 1 5c = 420
b ---> number of hour baby sitting
c-----> number of hours cleaning
c = 32 hours
Plugin c = 32 in the equation,
12b + 15*32 = 420
12b + 480 = 420
Subtract 480 from both sides
12 b = 420 - 480
12b = -60
So, This is not a reasonable value.
2) b = 10 hours
Plugin b = 10 hours
12*10 + 15c = 420
120 + 15c = 420
15c = 420 - 120
15c = 300
Divide both sides by 15
c = 300/15
c = 20 hours
He has to do cleaning for 20 hours
Yes, It is reasonable value
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answers
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.
Answers
Answer:
C
Step-by-step explanation:
AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.
The given triangles ΔABC and ΔLMN are similar by AA postulate.
What is a triangle?A triangle is a three sided polygon that consist of three edges and three vertices .
Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.
Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.
Hence two triangles are similar by AA postulate.
Thus two triangles are similar by AA postulate. So option (C) is correct.
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The cost of one scooter is Rs.52,136. What is the cost of 34 scooters?
----------------------------------------------------------------------------------------------------------------------------
Rs.17,72,624
Rs.1,77,26,204
Rs.1,24,56,658
Answers
Answer:
Rs.1772624
Step-by-step explanation:
Multiply 52,236 by 34
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
