A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
Learn more on reflection here: https://brainly.com/question/14460986
Help!
1. What is the slope of PA?
2. What is the slope of line N?
Marcus was showing how he solved a division problem with the area model below. His pen exploded ink on some of his work.
What is the divisor that is covered with ink on the left side of the model?
A. 100
B. 80
C. 56
D. 29
Answer:
C
Step-by-step explanation:
what is 7/9 - 1/3 simplified
Answer:
4/9 is the answer
Step-by-step explanation:
you're welcome
3. Which expression is equivalent to 1+2(x-1)
Answer:
2x - 1
Step-by-step explanation:
Equivalent Algebraic Expressions
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1
What is the y-intercept of the graph of 4x-10y =20???
which list shows the temperatures in order from coldest to warmest in degrees fahrenheit? HELP ME PLSSS I NEED THIS SOON
Answer:
Step-by-step explanation:
The answer is C
(づ。◕‿‿◕。)づ
Hope it helps
qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
PLZ HELP PLZ HELP PLZ HELP PLZ HELP PLZ HELPPLZ HELP
Answer:
$22,100
Step-by-step explanation:
20 x 25 = 500
10 x 18 = 180
500 + 180 = 680
680 x 32.50 = 22,100
plz give me brainliest and hope this helps
Find the equation of the line that goes through the points (-2, 5) and (3, 1).
Answer:
y=-4x+13 this is what i think
Step-by-step explanation:
Pedro y su hijo tienen juntos 55 años , si Pedro es 25 años mayor que su hijo ¿Cuál es la edad de Pedro? rapido plox
Answer:
30?...creo que esa es la respuesta
Step-by-step explanation:
55-25=30
Which of the following should you do first when solving the equation 2x-7=3x-2(x+8)
Answer:
multiply 3x-2(x+8)
Step-by-step explanation:
PEMDAS
also you must simplify both sides to solve this problem and that's the first step to simplifying this side (the other one is simplified)
Answer:
You should start the question of by distibuting the group 2(x+8)
Step-by-step explanation:
This is the most imoortant step to start off with because of:
GEMDAS
group, exponent, multiply, divide, add and subtract
Plzzzzzz help answer this question ASAP
Answer:
1. Not possible
2. Possible
3. Possible
4. Possible
Step-by-step explanation:
» How many digits will be in the quotient?
39)4,641
Answer:
There will be three digits in the quotient.
Step-by-step explanation:
The answer would be 119. Hope this helped ^^✨
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
-5, 2
9, 2
2, -5
2, 9
Step-by-step explanation:
Just count units above, below, to the right, and to the left.
A person is interested in studying the amount of time (in minutes) people spend on social media in day. The following data is collected from a sample of 12 people: 45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, and 220. (a) Calculate the mean, variance and standard deviation and 5
Answer:
81.25 ; 3091.48 ; 55.60
Step-by-step explanation:
Given the data :
45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, 220
The mean :
ΣX/n ; n = sample size
ΣX = 45+60+25+55+75+90+100+120+105+80+0+220 = 975
n = 12
Mean = 975 / 12 = 81.25
The variance :
Σ(X - m)^2 / n - 1
Using calculator to save computation time :
The variance : (34006.24997 / 11)
Variance = 3091.48
The standard deviation :
Sqrt(Variance) = sqrt(3091.48) = 55.60
How would you wright this as a decimal number ?
Hi there! :)
[tex]\large\boxed{-8.4}[/tex]
We can calculate the decimal by converting the fraction to an improper fraction, then dividing.
Derive the inpromper fraction by:
[tex]a\frac{b}{c} = \frac{c * a + b}{c}[/tex]
In this instance:
[tex]-8\frac{2}{5} = \frac{-8* 5 -2 }{5} = \frac{-42}{5}[/tex]
Divide:
-42 ÷ 5 = -8.4.
Ginger cut 9 yards of fabric into pieces that are yard long. How many -yard pieces did she make from the 9 yards of fabric?
A. 2 1/4
B. 8 3/4
C. 13
D. 36
Answer: c i think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
(EASY) Which best describes the relationship between the lines?
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
Gianna cuts a ribbon into equal pieces as shown below. She uses 4 pieces of the ribbon for a project. What fraction of the ribbon does Gianna use for the project? Explain how you found your answer.
What is 4/9 rounded to it's closest estimate
Answer:
1/2
Step-by-step explanation:
4/9 is .444
1/2 is .5
1/3 is .3333
4/9 is closer to being 1/2 than 1/3
Answer:
0.4
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] ≈ 0.4
5 students made an A in their Math quiz, 10 students made an B, 6 students made an C,
3 students made a D, and one made an F,
their are 25 students in this class
which are true select all that apply
A. For this math class, 10% of all students received an F
B. for this math class, 6% of all students received a C
C. for this math class 20% of all students received an A
D. the part -to-whole ratio of students who received a B is 10 : 25.
Answer:
I think is C.............
Which expression is equivalent to 16a -18b + 20a
A.(16 + 20)a + 18b
B.(16 + 20)a - 18b
C.(16 - 20)a + 18b
D. 16a - (20a + 18b)
What is 3/4 divided by 1/8? Express your answer in the simplest form.
Answer:
6
Step-by-step explanation:
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)
Answer:
126807 people
Step-by-step explanation:
Given;
P= Poe^ht
Where;
P= population at time t
Po= population at the beginning
h= growth constant
t= time
1998- 2008 is ten years.
110429= 100,000e^10h
1.1 = e^10h
ln(1.1) = lne^10h
0.095 = 10h
h= 0.0095
In 2023, t = 25 years
P= 100,000e^(0.0095 × 25)
P= 126807 people
Lin runs 12 laps around a track in 15 minutes.
Answer:
1.25
Step-by-step explanation:
15/12
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
HELP NOW !!!!!!!! solve ∣x − 6∣= 2
Answer:
x=8
Step-by-step explanation:
<3
Answer:
{8,4} can you mark as brainliest