15 points!! & will give brainliest!
The graph of F(x), shown below, resembles the graph
of G(x) x2, but it has been changed somewhat. Which of the
following could be the equation of F(x)?
A. F(x) = 6x2 - 2
B. F(x) = – x2 - 2
C. F(x) = 0.6x2 - 2
D. F(x) = x2 - 2
Answers
A. [tex]f(x)=0.6x^{2} -2[/tex], is the correct answer.
[tex]g(x)=x^{2}[/tex] is shifted down [tex]2[/tex] units and is bigger by 0.6 units, which makes the new equation: [tex]f(x) =0.6x^{2} -2[/tex].
The equation of the transformed function is F ( x ) = 0.6x² - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = x²
And , the graph of the function is shifted 2 units down and stretched by a a scale factor of 0.6 units
So , the transformed function is
F ( x ) = 0.6x² - 2
Hence , the transformed function is F ( x ) = 0.6x² - 2 and the graph is plotted
To learn more about transformation of function click :
https://brainly.com/question/26896273
#SPJ7
Related Questions
If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length _____.
8
10
12
Answers
Answer:
[tex]Longer\ leg = 8[/tex]
Step-by-step explanation:
Given
30-60-90 triangle
[tex]Shorter = \frac{8}{\sqrt 3}[/tex]
Required
The longer leg
The following relationship exists in a 30-60-90 triangle.
[tex]Longer\ leg = \sqrt 3 * Shorter\ Leg[/tex]
This gives:
[tex]Longer\ leg = \sqrt 3 * \frac{8}{\sqrt 3}[/tex]
[tex]Longer\ leg = 1* \frac{8}{1}[/tex]
[tex]Longer\ leg = 1* 8[/tex]
[tex]Longer\ leg = 8[/tex]
I need help with this please
Answers
rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5
Answers
Answer:
y = x + 4
Step-by-step explanation:
Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0
So Ix - 3I = x - 3, Ix + 2I = x + 2 and x - 5 = x - 5
Therefore, y = x - 3 + x + 2 - x + 5
y = x + 4
Answer:
Step-by-step explanation:
It might interest you to know what this question means without the restriction. See graph 36b. This shows exactly what happens to the absolute value. There are all sorts of turns and twists in it. Notice all the changes in direction and the minimum at -2,-2. The y intercept is at 0,0.
0,0 is also one of the x intercepts as well. The other is -4,0. The whole point of showing you this is to make you aware of what the restriction does.
The graph is reduced to a line starting at (5,9)
Below are the test scores that a student earned in 4 different subjects. In which subjects did this student have an average higher than 80%? Select all that apply.
Math: 82, 71, 95, 92
Reading: 74, 81, 82, 70
Science: 86, 77, 79, 90
Spanish: 68, 75, 83, 81
Answers
Answer:
Math and Science
Step-by-step explanation:
Inorder to find the average, you add up all the scores and divide it by 4.
Math average: 85%
Reading: 76.75%
Science: 83%
Spanish: 76.75%
Hoped it helped!
WILL GIVE BRAINLIEST
Answers
Answer:
The correct answer is C. (2, 3)
The total number of hours tea that Trent has practiced his guitar after D days is modeled by the equation shown t=3d
Answers
Answer:
The complete table is
d t
1 3
3 9
5 15
Step-by-step explanation:
Here is the correct and complete question:
The total number of hours, t, that Trent has practiced his guitar after d days is modeled by the equation t = 3d.
Complete the table below.
d t
1
3
15
Step-by-step explanation:
For the first space, we are to determine the value of t when d is 1
From the given equation, t = 3d, put d = 1 and determine t
t = 3d
∴ t = 3(1) = 3×1
t = 3
For the second space , we are to determine the value of t when d is 3
Put d = 3 in the equation to determine t
t = 3d
∴ t= 3(3) = 3×3
t = 9
For the third space, we are to determine the value of d when t is 15.
Put t = 15 in the equation and then find d
t = 3d
∴ 15 = 3d
Divide both sides by 3
15/3 = 3d/3
5 = d
∴ d = 5
What is the answer????
Answers
Answer:
IDEK
Step-by-step explanation:
Answer: i dk
Step-by-step explanation:
What is the square root of 134.66
Answers
Answer:
11.6 or 12
Step-by-step explanation:
Answer:
11.6043
Step-by-step explanation:
Please answer these three questions!!! FAST!!!!
Answers
Answer:
1- 300m
2- 0
3- 15m
Step-by-step explanation:
1- 300m
2- 0
3- 15m
?????????????????????
Answers
Step-by-step explanation:
the total angles of the triangle are 180°
so,
180° = (x - 10) + (2x + 5) + 35°
180° - 35° = (x - 10) + (2x + 5)
145° = 2x + x + 5 - 10
145° = 3x - 5
145° + 5 = 3x
150° = 3x
150/3 = x
x = 50
#CMIIWFind the value of each variable polygon
Somebody help with these please before 11:50pm
Answers
Translate the sentence into an equation.
The sum of 9 times a number and 6 is equal to 8.
Answers
Answer:
Step-by-step explanation:
gracias por los puntos
Because 9x is nine times, then you add 6, and that’s equal to 8.
A store has two different brands of laundry detergent. Brand A can do 80 loads of laundry and costs $12.75. Brand B does 36 loads of laundry and costs $6.75. Which laundry detergent costs less per load?
Answers
im on a test pleaseee help
find the solution to following system of linear equations using the substitution method:
[tex]y=-3x+5\\5x-4y=-3[/tex]
Answers
What is the value of x
Answers
Answer:
x = 55
Step-by-step explanation:
A triangle is 180 degrees in total. All you have to do is add the sides you already have and subtract that by 180.
Brian recorded the number of commercials played during two types of television shows: an educational documentary and a primetime drama. Both types of shows lasted 1 hour, including commercials. He recorded the number of commercials for 10 episodes of each type of show.
Answers
Answer:
[tex]m(x)_A = 5.2[/tex] --- Mean absolute deviation of educational documentary
[tex]m(x)_B = 4.7[/tex] --- Mean absolute deviation of prime time drama
Step-by-step explanation:
Given
[tex]n = 10[/tex]
See attachment for table
Required
Determine the mean absolute deviation of each
Mean absolute deviation m(x) is calculated as:
[tex]m(x) = \frac{1}{n}\sum |x - \mu|[/tex]
For Educational Documentary
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_A = \frac{26 + 28 + 30 + 18+27 + 18 + 20 +31+17+17}{10}[/tex]
[tex]\mu_A = \frac{232}{10}[/tex]
[tex]\mu_A = 23.2[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_A = \frac{1}{n}\sum |x - \mu_A|[/tex]
[tex]m(x)_A = \frac{1}{10}(|26 -23.2| +|28 -23.2| +|30 -23.2| +|18 -23.2| +|27 -23.2| +|18 -23.2| +|20 -23.2| +|31 -23.2| +|17 -23.2| +|17 -23.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(|2.8| +|4.8| +|6.8| +|-5.2| +|3.8| +|-5.2| +|-3.2| +|7.8| +|-6.2| +|-6.2|)[/tex]
[tex]m(x)_A = \frac{1}{10}(2.8 +4.8 +6.8 +5.2 +3.8 +5.2 +3.2 +7.8 +6.2 +6.2)[/tex]
[tex]m(x)_A = \frac{1}{10}*52[/tex]
[tex]m(x)_A = 5.2[/tex]
For Prime time Drama
First, calculate the mean
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu_B = \frac{39+39+35+29+40+27+41+29+32+30}{10}[/tex]
[tex]\mu_B = \frac{341}{10}[/tex]
[tex]\mu_B = 34.1[/tex]
The mean absolute deviation is then calculated as:
[tex]m(x)_B = \frac{1}{n}\sum |x - \mu_B|[/tex]
[tex]m(x)_B = \frac{1}{10}(|39-34.1|+|39-34.1|+|35-34.1|+|29-34.1|+|40-34.1|+|27-34.1|+|41-34.1|+|29-34.1|+|32-34.1|+|30-34.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(|4.9|+|4.9|+|0.9|+|-5.1|+|5.9|+|-7.1|+|6.9|+|-5.1|+|-2.1|+|-4.1|)[/tex]
[tex]m(x)_B = \frac{1}{10}(4.9+4.9+0.9+5.1+5.9+7.1+6.9+5.1+2.1+4.1)[/tex]
[tex]m(x)_B = \frac{1}{10}*47[/tex]
[tex]m(x)_B = 4.7[/tex]
Please give me questions about finding the circumference of a circle
Answers
Answer:
Ok, here goes nothing
Step-by-step explanation:
1. What will be the circumference of the circle?
2. What information is needed to find the circumference of a circle?
3. How is PI used in finding the circumference of a circle?
This is all I got
Write the formula of the function f (x) whose graph is shown.
A. f (x) = 3/x+3 +1
B. f (x) = 3/x+1 +3
C. f (x) = 3/ x-1 + 3
D. f (x) = 3/ x-3 + 1
Please help!
RATIONAL FUNCTIONS
Answers
Answer: D. f (x) = 3/x-3+1
Learn more: brainly.com/question/15155257
I need help with math
Answers
2. x = 46
Good luck
Step-by-step explanation:
1》 x + 74° = 90°
x = 90° - 74°
x = 16°
2》 x + 134° = 180°
x = 180° - 134°
x = 46°
#CMIIWIn a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answers
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
solve each equation for the variable 7x-2=40
Answers
Answer:
x = 6
Step-by-step explanation:
7x - 2 = 40
7x - 2 + 2 = 7x
40 + 2 = 42
7x = 42
7x / 7 = x
42 / 7 = 6
x = 6
The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?
Answers
Answer:
56 units²Step-by-step explanation:
There are two bases of 3x4 and 4 sides of 2x4
Total surface area is:
2(3*4) +4(2*4) = 56 units²find the value of given expression
[tex] \sqrt{25 \times 625 \times \times 25} [/tex]
Answers
Answer:
±625
Step-by-step explanation:
[tex]\sqrt{25 x 625 x 25}[/tex]
[tex]\sqrt{390625}[/tex]
±625
Answer:
√(25×625×25)√{5²×25²×5²)=±(5×25×5}=±625 is your answer
What package is the Best Buy?
Answers
Answer: The answer is 8 lb for $18.80
That is the answer because you have to divide in order to see which is the best buy
You have to divide $4.98 by 2lb and you will get 2.49, divide $12.25 by 5lb which equals 2.45, divide $18.80 and you will get 2.35, divide $23.70 by 10lb and you will get 2.37. So therefore you answer is C.8lb for $18.80 because 2.35 is better than the other deals.
Step-by-step explanation:
Hope this helps !
Hugo plays basketball.
He made 12 out of 15 shots.
Predict how many he would make if he
attempted 45.
Answers
Answer:
170
Step-by-step explanation:
multiply 12×15=170
please help me. find the value of x. will mark brainliest.
Answers
sin (x) = 0.722
x = inverse sine of 0.722
x = 46.2 degrees
Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)
Answers
Answer:
18u + 2 + 5/(u - 8)Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8) 18u^2 - 142u - 11 = 18u^2 - 8*18u + 2u - 11 = 18u(u - 8) + 2u - 16 + 5 =18u(u - 8) + 2(u - 8) + 5 =(18u + 2)(u - 8) + 5(18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)Answer:
18u + 2 + 5/u - 8.
Step-by-step explanation:
(18u^2 - 142u - 11) ÷ (u - 8)
= 18u + 2 + 5/u - 8.
need help, I will be gaveing out points for helpers
Answers
Answer:
The 3rd answer
Step-by-step explanation:the
180-30\2
....
=75
30+2*75=
...
180
Answer:
30 + 2x = 180
Step-by-step explanation:
This is becuase we know this triangle is an isosceles triangle. (The two markings on the sides prove that.) An isosceles triangle is when two sides (so naturally also two angles) are the same. This means the other angle is x. We know that if we add all of the angles, we'll get 180. So, 30 + x + x = 180 or "30 + 2x = 180".
Also, x = 75.
Here:
30 + 2x = 180
30 - 30 + 2x = 180 - 30
2x = 150
2x / 2 = 150 / 2
x = 75
HOPE THIS HELPED!! HAVE AN AWESOME DAY!
Find the measure of.. (image included)
I don't get this :(
Answers
WILL GIVE BRAINLIEST!
Find x given y = 76° in the figure below.
x =
°
Answers
Answer:
104°
Step-by-step explanation:
The straight line for [tex]q[/tex] forms an angle of 180°
Therefore,
[tex]x+y=180[/tex]
[tex]x+76=180[/tex]
[tex]x=180-76[/tex]
[tex]x=104[/tex]
Y=76
X=180-76
X=104 degrees