Which equation transforms f(x)=x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?
Answers
Answer:
the one you have selected
Step-by-step explanation:
you already have the correct answer
The expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]
The equation of the function is given as:
[tex]f(x) = x[/tex]
The rule of horizontal stretch by a factor of 2 is represented as:
[tex](x,y) \to (\frac 12x,y)[/tex]
So, we have:
[tex]y = f(\frac 12x)[/tex]
The rule of reflection over the x-axis is represented as:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]y = -f(\frac 12x)[/tex]
The rule of a vertical shift down by 4 units is:
[tex](x,y) \to (x,y-4)[/tex]
So, we have:
[tex]y = -f(\frac 12x)-4[/tex]
Hence, the expression that represents transformation is [tex]-f(\frac 12x)-4[/tex]
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Related Questions
help pls I'm not smart enough for this..
Answers
Answer:
y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3Step-by-step explanation:
Number replaces with each corresponding value.
The number on the left is the x, and the number on the right of the colon is y.
Simply replace x and if you get the y, it is a match.
y = 1/2(2) = 1
y = 5(1) = 5
y = 1.5(16) = 16
y = 3(1) = 3
Which feature of the Earth is shown below and is created by farge amounts of in our core?
Answers
Answer:
C) Earth's Magnetic Field.
Step-by-step explanation:
Those lines are representing the magnetic pulls/fields that go around the Earth. Another clue that is given is the N and S, which represent North and South, which pertains to the north pole and south pole. These poles have a lot of magnetic fields around them.
Answer:
b MAntle convection currents
List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)
Answers
Answer:
Domain are all x values
Range are all y values
Domain:(1,2,3,4)
Range:(-4,-3,-2,-1)
Range(-1,-2,-3,-4)
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
Answers
Answer:
4.8/6 = $0.80
Answer:
0.80
JKJKJKJKJKJ
PLEASE HELP WORTH 25 POINTS, find a and b.
Answers
Answer:
a = 12 b = 30
Step-by-step explanation:
The lengths of two coasters are the ratio 3:20. The length of the short roller coaster Is 360m. What is the length of the longer roller coaster? Give your answer in kilometres
Answers
Answer:
2400KM hope this helps sorry if im
wrong
im not good with ratios and unit conversion
HELP !!! A survey was conducted in a super store to study the monthly turnover in the number of clients
This survey revealed that:
• During the first month 5000 clients made their purchases from the store
• Each month 30% of the clients of the preceding month stopped to make their purchases from their
store and 1800 new clients joined the remaining clients of this store.
Denote Un the number of clients that make their purchases during the nth month
Let Un+1 = 0.7Un + 1800
1) Find U1 , U2 and U3
2) Show that the sequence Un is neither arithmetic nor geometric
3) Let the sequence (Vn) be denoted by Vn= 6000 – Un. Prove that Vn is a geometric sequence, whose
common ratio and 1st term are to be determined.
4) Calculate S = V1 + V2 + ….. + V6
5) Calculate Vn in terms of n
6) Deduce Un in terms of n
Answers
Answer:
this is a lot
Step-by-step explanation:
Answer:
Ja kmsazt zaednaie
Step-by-step explanation:
Please help this is due today. I will give brainliest
Answers
Answer46789
Step-by-step explanation:
Answer:
35 40 45 50
Step-by-step explanation:
0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five
What is the answer?
Answers
Answer:
A is parallel to B
Step-by-step explanation:
This means that the two lines will never touch
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
Answer:
y - 2 = 1/8(x+8)
Step-by-step explanation:
The slope of lines that are perpendicular are each other's opposite reciprocal.
so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.
Point-slope form : y - y1 = m(x - x1)
(x1,y1) = (-8,2)
so, y - 2 = 1/8(x+8) is our final answer!
Which equation represents a line which is parallel to the line 7x-5y=-30?
Answers
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
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What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answers
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
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write the following ratio in their simplest form 25:75
Answers
Answer:
1/3 :)
Step-by-step explanation:
Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
Answers
Answer:
what's the question
Step-by-step explanation:
solve for x in the literal equation −14 = xy + z.
Answers
Pls mark brainliest if correct
a-b-c=9, solve for a
Answers
Answer:
d
Step-by-step explanation:
Answer: a = 9 +b + c
Steps: a - b - c = 9
Subtract -b and -c from both sides: a - b - c - (-b -c) = 9 - (-b -c)
Simplify: a = 9 +b + c
Plz mark brainliest:)
N/8=3/4 what is the n?
Answers
Step-by-step explanation:
n/8=3/4
n=3×8/4
n=24/4
n=6
Help i dont understand this
Answers
Answer:
b
Step-by-step explanation:
What is the value of x
Answers
Answer:
A, 38
Step-by-step explanation:
the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180
If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h
Answers
Answer:
AV and DV both are correct
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answers
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
Which of following BEST defines climate?
Answers
Answer:
climate is the weather in a part of the world.
Answer:
Try C: Average weather conditions of a region over the long term
Hope this helps!
Someone help me please
Answers
Answer:
good luck
Step-by-step explanation:
2) Use the elimination method to solve for x and y.
equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9
solve for y _____
solve for x _____
Answers
Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
[tex] y = - 3. \\ x = - 13.5[/tex]
Step-by-step explanation:
[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
[/tex]
Pls answer :(
I’ll appreciate!
Answers
Answer:
The answer would be 2.1 so it must be D
Step-by-step explanation: divide them
What is the value of the x-coordinate that is 9 units to the left of (4, -7)?
Answers
Answer:
-5
Step-by-step explanation:
A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle
Answers
Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a function?
Yes
No
Answers
Answer:
Yes
Step-by-step explanation:
In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.
What is true about the measure of angle B?
It is twice the measure of angle A.
It is twice the measure of angle C.
It is equal to the measure of angle A.
It is equal to the measure of angle C.
Answers
Answer:
A
Step-by-step explanation:
sometimes we can determine a missing angle because we know that the sum must be a certain value... remember...the sum of the degree measure of angles in any triangle equals 180 degrees.below is a pict.of triangle ABC. where angle .A =60 degrees, angle.B=50 degrees and angle.C =70 degrees
Answer:
It is twice the measure of Angle A.
Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:
Answers
Answer:
A rate of 5/2 means that:
If we move 2 units to the right, we move 5 units up.
Let's see all the graphs, the easier way to know this is:
In any point of the line, move to the right 2 units.
Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.
A) The slope is 5/2.
B) The slope is 4/2
C) the slope is 5/2
I can not see very well graphs E and D in the image.
E) may have a slope of 5/2, you should measure it.
D has not a slope of 5/2, you can compare it with A and see that is totally different, so you can discard option D.
Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).
Step-by-step explanation:
Given information:
Line A,B,C,D and E having different slopes;
Now as we know that equation of the line is:
[tex]y=mx+c[/tex]
where, m is the slope of the line
Now, Also [tex]dy/dx=m[/tex]
Hence, the slope of the line can also be calculated according to that.
Now, as given in the graph:
Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]
Hence slope of line A
[tex]dy/dx(A)=5/2[/tex]
Similarly:
Line B is having slope of (4/2)
Line C is having slope of (5/2)
Line D is not having slope of (5/2)
And Line E may have the slope of (5/2).
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