The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
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b) Work out 4 1/2 + 1 1/2
Give your answer as a mixed number in its simplest form.
Answer:
10
Step-by-step explanation:
4 1/2 + 11/2
= 9/2 + 11/2
= 20/2
= 10
if you make $20,800 a year, what is your weekly salary? — explanation needed
Solve: x2=925 A x=35 B x=−35 C x=325 and x=−325 D x=35 and x=−35
THE ANSWER IS D
Answer:
D? i prob got it wrong
Step-by-step explanation:
Answer:
well thx for the answer
Step-by-step explanation:
pleas help me with this one thank you
Answer:
=4p^2−12p+13
Step-by-step explanation:
Let's simplify step-by-step.
4p^2−12p+13
There are no like terms.
Can someone please help me. I’ll mark you brainiest.
Answer:
$47,682.78
Step-by-step explanation:
future value: F = $64,700
present value: P = x
annual interest rate: r = 2.18%
compounding periods per year: n = 365
[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]
[tex] 64,700 = P(1 + \dfrac{0.0218}{365})^{365 \times 14} [/tex]
[tex] 64,700 = P(1 + 0.0000597260274)^{5110} [/tex]
[tex] 64,700 = P(1.0000597260274)^{5110} [/tex]
[tex] 64,700 = P(1.356883989) [/tex]
[tex] P = 47,682.78 [/tex]
Answer: $47,682.78
Write 2 and 19/25 as a percent.
Answer:
276 percent lol
Step-by-step explanation:
what is the value of x
7 square root 2
14
7 square root 3
7square root 2 over 2
7 square root 3 over 3
Answer:
I had this question yester day.
Step-by-step explanation:
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:
90%
Step-by-step explanation:
I NEED HELP FAST ITS E.L.A ILL GIVE BRAINLIEST FOR FIRST ANSWER
Read the paragraph.
When the U.S. Postal Service began, men on horseback carried mail in bags across the country. Once the railroad system was developed, mail was delivered to different states by train. Today, mail is transported in trucks, trains, airplanes, and even boats.
What is the meaning of "transported" as it is used in this paragraph?
A. delivered by hand
B. organized by city and state
C. received from different locations
D. carried from place to place
Answer:
I would go with D
carried from place to place
I think that it is most likely D.
I need help !!! Please
(2x – 4) + (7x + j) = 9x – 12
find j please!!
Answer: 2
Step-by-step explanation:
Answer:
j=(-8)
Step-by-step explanation:please mark me brainiest
Whoever answers I will give brainliest! :)
Using the formula below, solve when s = 3.
1. A = 6s²
Answer:
54
Step-by-step explanation:
1. A = 6 x 9
A = 54
Hope that helps!
Answer:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
ok i think this is right
Using the SA formula you'll have to substitute in the edge length for s.
SA = 6(312)²
SA = 584064
The surface area is 584,064 feet²
The number of dairy cows in a farm can vary from month to month. The amount of milk
produced each month depends on the number of dairy cows on the farm. If g is the
number of gallons of milk produced and nis the number of dairy cows on the farm, which
of the following statement or statements are true about the variables?
Select all that apply.
a. g is the independent variable
b.g is the dependent variable
cn is the independent variable
dan is the dependent variable
Answer:
G is dependent
N is independent
Answer:
G is dependant d is independant
Step-by-step explanation:
HELP ITS SOO HARD also can you please explain how to get the answer to where a dummy can understand cuz well I’m a dummy
Answer:
244.92 square inches
Step-by-step explanation:
You just have to fill in the formula with the information they gave you.
They gave you the diameter for base circle so you divide that number in half to get the radius which is what you need for the formula represent as "r".
r=3
h=10
and you know pi is 3.14
so just plug in the numbers.
SA=2x3.14x3^2+2x3.14x3x10
SA=6.28x9+6.28x30
SA=56.52+188.4
SA=244.92
How high is a stack of b books?
Answer:
1.4
Step-by-step explanation:
please help!!!! I'm so confused :\ I'm sorry ik this is annoying
Answer:
I believe it will be C
Step-by-step explanation:
Hope this Helped you
ILL MARK YOU BRAINLIEST To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by an equation of the form y=mx+b, where x = the fire in months and ythe
total cost in dollars. What is the value of b in this equation?
Answer: b=75
Step-by-step explanation: Given that the health club charges $30 per month, we know that this is the "m" varible. We know this because the total value changes as the value of x changes. The value of b would therefore be $75 dollars because it is a constant and a one time fee. The person joining the health club pays an amount of money per month, as well as an initial charge of $75.
Hope that helps!
AGAIQJSJWJ PLEASE HELPP
y = 5x - 6&y= -4x + 3
Use the Equal Values Method to solve for x and y
Answer: x = 1 and y = -1
Step-by-step explanation:
Since both equations are equal to y, that means the equations are both equal to each other
5x - 6 = -4x + 3
Solve for x how you would traditionally do it with any other one-variable equation
9x = 9
x = 1
Plug the now known x value into either equation and you will get your y value.
5(1) - 6 = -1
-4(1) + 3 = -1
which of the following rational functions is graphed below. A.F(x)=1/x(x+2) B. F(x)=2x/x(x-2) C.F(x)=2x/x(x-2) D. F(x)=(x+1)/(x+2)(x+0)
Answer:
you don't have the graph
Step-by-step explanation:
What is the slope for this table?
Answer:
7
Step-by-step explanation:
[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]
3sin60°+xcos30°.tan45°=xcot30°
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
Which value of c makes the ratios equal?
5/6=9/c
A. c = 11
B. c = 10.8
C. c = 10.2
D. c = 5.8
c5/5=9(6)/5
c=54/5
c=10.8
the answer is B. c=10.8
HELP WITH PERFORMANCE TASK PLEASE! I DESPERATLY NEED CORRECT ANSWERS!
I will mark brainliest!
Answer:
so um try The y-intercept represents a starting salary of $ 3,000 for a new employee.
The slope represents an additional $ 2,500 in salary for each additional year of employment.
If the starting salary for a new employee is changed to $35,000 and the salary increase is unchanged, the new equation would be y= 2,500x + 35,000
If the yearly salary increase is changed to $ 2,500 . the new equation would be y= 3,000
Step-by-step explanation:
Im not very good at Math im sorry if they're wrong
does anyone know the answer
Answer:
intercept = (1,2)
Step-by-step explanation:
anyone think they could help me with this ???
Answer:
12°
Step-by-step explanation:
As we can see the triangles are congruent so
< F = < C ( being corresponding angles of congruent triangle)
< C = 29
Now
<A +<B + <C = 180° { being sum of angles of triangle }
5x + 1 + 90 + 29 = 180°
5x = 180° - 120°
5x = 60°
x = 12°
3(5+4y)+8-2y how to do this plz
Answer:
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
Step-by-step explanation:
Given
As the expression is given by
[tex]3(5+4y)+8-2y[/tex]
To determine
Simplify the expression
Let us simplify the expression
[tex]3(5+4y)+8-2y[/tex]
Expand 3(5 + 4y) = 15 + 12y
[tex]3\left(5+4y\right)+8-2y=15+12y+8-2y[/tex]
grouping like terms
[tex]=12y-2y+15+8[/tex]
[tex]=10y+23[/tex]
Therefore,
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
What is the domain of the function?
X+6
f(x)=(x-7)(x+5)
A all real numbers except 7
Ball real numbers except 5 and -7
Call real numbers except -5 and 7
D all real numbers
The required domain of the function is all real numbers except -5 and 7. Option C is correct.
Given that,
f(x) = (x + 6) /[(x-7)(x+5)]
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given function,
f(x) = (x + 6) /[(x-7)(x+5)]
We can put any real number on the number line except 7 and -5, because at these value function gives the value as infinity.
Thus, the required domain of the function is all real numbers except -5 and 7. Option C is correct.
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Christian had brochures printed for a new business venture, Christian originally ordered 4 boxes of black-and-white
brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3
boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
If she let x = the number of black and white brochures and y = the number of color brochures, which system of
equations would she use?
Answer:
4x+3y=134
3x+3y=120
Step-by-step explanation:
You walk back and forth to school every day. The school is 1.25 km from your home. What is the distance you walk, in meters, every day? (1km =1000m)
PLEASE HELP <3
Answer: 1250
Step-by-step explanation:
0.25x1000=250
+ 1km/1000 meters
1000+250=1250
Answer:
2500m
Step-by-step explanation:
1.25km is 1250m. 1250 multipled by 2 is 2500m.
The two graphs show amounts of bacteria over time for two different strains of bacteria.
The culture of bacteria A it starts with 250 bacteria and doubles every hour.
The culture of bacteria B starts with 100 bacteria in triples in size every hour.
Use the drop down menus to complete the statements below about bacteria A.
The y-intercept of the graph for bacteria A will be at
a.0
b. 100
c. 250
Which is
a. Higher than
b. Lower than
c. The same as
the graph of bacteria b.
The graph of bacteria A will grow at
a. A slower
b. A faster
c. The same
The graph of bacteria is
a. F, the red graph
b. G, the blue graph
c. Neither graph
Answer:
c., a., a., and a.
Step-by-step explanation:
The y-intercept of the graph for Bacteria A will be at
250
, which is
higher than
the graph of Bacteria B.
The graph of Bacteria A will grow at
a slower
rate compared with the graph of Bacteria B.
The graph of Bacteria A is
f, the red graph
.
