if you apply the changes below to the linear parent function, f(x) = x, what is the equation of the new function?
Answers
Given:
The linear parent function is
[tex]f(x)=x[/tex]
To find:
The new function after vertical stretch by a factor of 4 and flip over the x-axis.
Solution:
The transformation is defined as
[tex]g(x)=kf(x)[/tex] .... (i)
Where, k is either vertical stretch or vertical compression.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If k<0, then the graph flip over the x-axis.
It is given that the graph of f(x) vertically stretch by a factor of 4. So, |k|=4.
The graph flip over the x-axis. So, the value of k must be negative, i.e., k=4.
Using (i), we get
[tex]g(x)=-4f(x)[/tex]
We have, [tex]f(x)=x[/tex]
[tex]g(x)=-4x[/tex]
Therefore, the correct option is B.
Answer: g(x)= -4x
Step-by-step explanation:
Related Questions
what's the answer? I don't get it
- 1/2 X + 3 = 1/4 (X-12)
Answers
Answer:
i think x=8
Step-by-step explanation:
Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined using only the Law of Cosines by answering “yes” or “no”.
m∠D =
m∠E =
DE =
Answers
9514 1404 393
Answer:
∠D - no∠E - noDE - yesStep-by-step explanation:
With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.
However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.
So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.
Plsss help I have a couple min left plssss
Answers
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
What is the sum of
9
16
and
5
16
Answers
Answer:
7/8 step by step
Step-by-step explanation:
9/26 +5/16 = 14/16
simplify
7/8
Miles got 23 out of 25 questions correct on his test. What percent did he get correct?
Answers
Answer: Miles got 92% correct on his test
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
25=100%
23=? crisco
23×100/25= 92%
which of these expressions will return the same value for PV
Answers
Answer:
C
Step-by-step explanation:
what is the slope of the line represented by the equation y =7 - x?
Answers
Answer:
slope = -1
Step-by-step explanation:
When you put the equation into slope-intercept form (y=mx+b), where m is the slope of the line, you can see that -1 is the slope.
The slope of the line represented by the given equation is -1.
Given the following equation:
[tex]y =7 - x[/tex] ...equation 1.To determine the slope of the line represented by the given equation:
Mathematically, the standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex] ....equation 2.
Where:
x and y are the points.m is the slope.b is the intercept.Equating the two equations, we have:
[tex]y = mx+b = 7-x[/tex]
Comparing eqn 1 and eqn 2, we can deduce that the slope is -1.
Read more on slope here: https://brainly.com/question/18123312
y = -2x + 5
4x + 2y = 10
Please show your work!!!
Answers
Answer:
The answer is ( X , - 2x + 5)
if you click the image it will show you how to solve the equation. I hope this helps you :)
(3.1 x 10¹⁵) + (3.7 x 10¹³) in simplified form. Please hurry
Answers
Answer:
[tex]3.137E15x[/tex]
Step-by-step explanation:
Answer:
This is your answer ☺️☺️☺️
help asap
find m∠ABC
Answers
Answer:
85
Step-by-step explanation:
Determine the mean, median, and mode for the following data sets. Identify any
possible outliers.
10) Count of blueberries in each bulk size container: { 238, 173, 180, 193, 190, 164,
159, 210}
Answers
238+173+180+193+190+164+159+210=
1,561/8=188.375
Median
159,164,173, 180,190 ,193,210,238
180+190=370/2=185
Mode-no number repeats itself more than once, therefore there is no mode for this data.
If a dle is rolled, what is the probability of getting an even number?
P(even number)
note: your answer will be written as a decimal
Answers
Answer:
.5 or 50%
Step-by-step explanation:
A die has six sides, have of them are odd and half are even. Therefore the probability of getting an even number is 50% or 0.5.
Work out the size of angle BCD
Answers
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
(2x-50)
(x+40)
150°
80°
(x+20)
That 80 is not the correct x
Answers
Answer: x=120
Step-by-step explanation:
(2x-50)+(x+40)+150+80+(x+20)+90= 720
4x+330= 720
4x=390
x=97.5
Will be giving brainlest
p = 4, a = 5, r = 2, n = 10
Evaluate the algebraic expression a - r.
A.2
B.3
C.5
D.8
Answers
Answer:
sorry dont know
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
5-2
=3
................
Austin is helping his mom stain their wooden deck shown in the diagram below.
Part A. How many square feet of the deck do Austin and his mom need to stain?
Part B. If a can of stain covers 200 square feet, how many cans of stain will they need to buy to cover the entire deck?
Answers
Answer:
Step-by-step explanation:
Part A
Area of the deck = Area of rectangle A + Area of rectangle B
= (12 × 20) + (34 × 8)
= 240 + 272
= 512 square feet
Part B
∵ 200 square feet of the deck is covered by 1 can of stain
∴ 1 square feet of deck will be covered by the can of stain = [tex]\frac{1}{200}[/tex]
∴ 512 square feet will be covered by the stain = [tex]\frac{512}{200}[/tex]
= 2.56
≈ 3
Therefore, 3 cans of stains will cover the entire deck.
A rectangle has a length of 6 inches and a width of 8 inches. A square with a side length of 3 was cut out of it. What is the area of the remaining paper
Answers
Answer: 39 inch²
Step-by-step explanation:
The rectangle's area was:
= Length * Width
= 6 * 8
= 48 inches²
The square's area is:
= Length * width
= 3 * 3
= 9 inches²
The square was cut out of the rectangle which means the area of the square should be deducted from the rectangle to find out the remaining area.
= 48 - 9
= 39 inch²
Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?
Answers
to give you 154.166 which rounds to 154.17
plsplsplsplsplsplspslpslsplspslpslpslsplsplspslsp
Answers
Answer:
192
Step-by-step explanation:
Fist you do 4x6x4, then 6x8x2 and add em together and you get 192! :)
Answer:
208 cm
Step-by-step explanation:
Surface Area = 2(wl+hl+hw)
2(6 × 8 + 4 × 8 + 4 × 6)
2(48 + 32 + 24)
2(104) = 2 × 104
= 208 cm
Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 10x^5 + 8x^4 - 15x^3 +2x^2 - 2
Answers
Given:
The function is:
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
To find:
All the possible rational zeros for the given function by using the Rational Zero Theorem.
Solution:
According to the rational root theorem, all the rational roots are of the form [tex]\dfrac{p}{q},q\neq 0[/tex], where p is a factor of constant term and q is a factor of leading coefficient.
We have,
[tex]f(x)=10x^5+8x^4-15x^3+2x^2-2[/tex]
Here,
Constant term = -2
Leading coefficient = 10
Factors of -2 are ±1, ±2.
Factors of 10 are ±1, ±2, ±5, ±10.
Using the rational root theorem, all the possible rational roots are:
[tex]x=\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
Therefore, all the possible rational roots of the given function are [tex]\pm 1,\pm 2,\pm \dfrac{1}{2}, \pm \dfrac{1}{5},\pm \dfrac{2}{5},\pm \dfrac{1}{10}[/tex].
write the set notation of the following Venn-diagram I will mark him or her as the brainliest answer
Answers
Answer:
A intersection B complement
What values of x solve x 2 - 4x + 3
Answers
Answer:
x=1 and x=3
Step-by-step explanation:
When you factor it you get (x-1) and (x-3) then you subtract the 1 and 3 to the other side which is why the answer is positive.
Answer:
x = 1, x = 3
Step-by-step explanation:
Equate the expression to zero, that is
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
A plane intersects the center of a sphere
with a volume of about 9,202.8 m3. What is
the area of the cross section? Round to the
nearest tenth.
Answers
Answer:
530.66
Step-by-step explanation:
The computation of the area of the cross section is shown below
Given that
Volume = 9208 m^3
Now let us assume the radius be r
So volume = 4 ÷ 3 πr^3
9202.8 × 3 ÷ 4π = r^3
27,608.4 ÷ 4 × 3.14 = r^3
27,608.4 ÷ 12.56 = r^3
2,198.12 = r^3
r = 13
Now the area of the cross section is
= πr^2
= 3.14 × (13)^2
= 530.66
Which expression represents the series 1+5+25+125+625
Answers
Answer:
Step-by-step explanation:
simplify the following and write in exponential from
2³x3³
Answers
Answer:
6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.
Hope this helps!
Regina wants to donate 15% of her paycheck to charity. If she receives a paycheck of $300, how much money will she donate?
Answers
Rani deposited AED 12000 for 3 years at the rate of 5 percent per annum. Calculate the simple interest and amount at the end of the 3rd year
Answers
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
Find the volume of the following figure. Round to the nearest tenth.
Answers
Answer:
A
Step-by-step explanation:
volume of cylinder= πr²h
r= 12cm
h = 19cm
putting the values in the formula
Factor out the GCF:
-36n^3 + 6n^2
Answers
-36n³ + 6n² = -6n²(6n - 1)
Answer:
-[tex]6n^{2}[/tex](6n-1)
Step-by-step explanation:
i hope its correct!! ^^
12/18 In simplest form
Answers
Answer:
Find the gcf, greatest common factor, of 12 and 18 and solve
Step-by-step explanation:
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
The gcf is 6, so divide the numerator and denominator by 6.
12 / 6 = 2
18 / 6 = 3
Therefore, 12/18, when relatively prime, is 2/3