Answer:
The answer is [tex]g(x)= -6x(x-1)+3[/tex]
Step-by-step explanation:
we know that f(x) is written as [tex]3x^{2}-3x[/tex]
to show that the graph is being translated up, vertically stretching, and reflecting across the x axis, we need to factor the function.
[tex]f(x)= 3x^{2}-3x \\ 3x(x-1)\\[/tex]
now we can incorporate the changes to this graph.
multiply 3x by 2 and -1. (2 for a stretch and -1 for a reflection).
[tex]-6x(x-1)[/tex]
tack on the +3 to show a translation of 3 units up.
[tex]-6x(x-1)+3[/tex]
therefore, [tex]g(x)= -6x(x-1)+3[/tex]
hope this helps!
The rule for the graph of g after all transformations of the function f(x) = 3x² -3x is;
g(x) = 6x² + 3x + 6
The graph of f(x) is given as;
f(x) =3x^2-3x
According to the parameters given;
First, the graph of g is a translation 3 units up, therefore, we have;
g(x) = f(x) + 3g(x) = 3x² - 3x + 3Secondly, followed by a vertical stretch by a factor of 2 and a reflection in the x axis.
This means that the graph must be multiplied by 2 and x values containing x be now regarded as -x
g(x) = 6x² - 3x + 6And a reflection in the x-axis yields;
g(x) = 6(-x)² -3(-x) + 6g(x) = 6x² + 3x + 6Ultimately, the rule for the graph of g is;
g(x) = 6x² + 3x + 6.
Read more:
https://brainly.com/question/11598381
How to find the y axis on a graph
Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87
Answer:
initial value opposite value absolute value
15 -15 |15|
-93 93 |93|
56 -56 |56|
-87 87 |87|
Step-by-step explanation:
marcos is making three tile pictures.
Answer:
600 tiles
Step-by-step explanation:
310 green tiles and red 310-50=290so 310 plus 290 =600
You have a box that is 2 x 3 x 5 how many cubes does it hold? How do you know!
The solution to 5(x-2)-6=24 is which of the following? Show the steps in your solution process.
Answer:
x=8
Step-by-step explanation:
distributive property
5x-10-6=24
adding -10 and -6 which is -16
5x-16=24
add 16 on both sides to cancel the -16
5x=40
than divide 5 to cancel out the 5
x=8
How to solve trigonometric functions such as
sin 2x sin x + cos x= 0
Use the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Now rewrite
sin(2x) sin(x) + cos(x) = 0
as
2 sin²(x) cos(x) + cos(x) = 0
Factor out cos(x) :
cos(x) (2 sin²(x) + 1) = 0
Consider the two cases,
cos(x) = 0 OR 2 sin²(x) + 1 = 0
Solve for cos(x) and sin²(x) :
cos(x) = 0 OR sin²(x) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(x) = 0
Cosine is zero for odd multiples of π/2, so we have
x = (2n + 1) π/2
where n is any integer.
is 4(x-8)=4x-8 One solution no solution or infinite solutions explain your answer
Answer:
No solution
Step-by-step explanation:
4(x-8) = 4x-8
Distribute.
4x-32 = 4x-8
Subtract 4x first and get rid of the variable (x).
4x-32 = 4x-8
-4x -4x
-32 = -8
-32 does not equal -8, so there is no solution!
Have an amazing day!! c:
10 pts
Question 4
Determine if the equations are Parallel, Perpendicular, of Neither.
5
y =
=- X
4
+1
and y
5
= — X -
-7
4
O Parallel
Perpenicular
O Neither
rewrite the equation by completing the square -2x=x^2 - 6
Hi, I was wondering why (-1)(-1)(-1)(-2) equals 2 but (-2)(-4)(-3) equals -24. Thank you in advance.
Answer:
-1*-1= 2;2*-1=-1;-1*-2=2
Step-by-step explanation:
negative times neg equals positive
Because when you add negatives together it goes more down because you are adding negatives together. if you add 2 negatives it decreases in value but when you subtract 2 negatives from each other the number increases.
HELP ME PLS One table at a bake sale has 150 mini cupcakes. Another table has 180 mini cookies. Wich table allows more square arrangments when all mini cupcakes and mini cookies are displayed? Explain.
Answer: step by step equations
Step-by-step explanation:
Long division please show work 16/384 look at picture! i’ll give brainliest also
Answer:
24
Step-by-step explanation:
384 divided by 16 will give you 24. Theres no way to show work properly so just trust me
The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?
Answer:
80%
Step-by-step explanation:
A percentage can also be represented as a fraction with the denominator of 100. If 80 out of 100 (Fraction Form: [tex]\frac{80}{100}[/tex]), then 80% of the art club members voted.
the baker's at healthy Breakers can make 210 Bagels in 5 hours how many bagels can they make in 19 hours
Answer:
he can make 798
Step-by-step explanation:
your welcome
From car models to colors
Answer:
green, beige, orange, gold, yellow, and purple were the rarest exterior paint colors.
plz mark brainliest if helpful
You have $2,000 to invest and want it to grow to $3,000 in two years. What interest rate would you need to find to make this possible?
Answer:
25%
Step-by-step explanation:
can someone help me with this and explain the steps
Answer:
x intercepts is (-81 ,0)
y intercepts is (0,9),(0,-9)
Step-by-step explanation:
The graph shows the number of books, y, Melissa read during the weeks of summer break, x. She also read several books during the school year.
Determine the equation that can be used to represent this situation.
y = 3x
y = x + 5
y = 3x + 15
y = x + 15
Answer:
Step-by-step explanation:
Y=3x+15
Answer:
3x+15
Step-by-step explanation:
3x+15
15=5k-13 whats the letter
Answer:
k= 5.6
Step-by-step explanation:
explain determination ......??
Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.
Synonyms:
resolution, resolve, resoluteness, character.
Antonyms:
weak-mindedness, pusillanimity.
If x = 4 and y = 7, evaluate the following expression:
20 – (3y – 4x)
Answer:
15
Step-by-step explanation:
x=4, y=7
20-(3y-4x) Substitute the values for the variables:
20-(3*7-4*4) Multiply:
20-(21-16) Parentheses first:
20-5
=15
Hope this helps :)
The solution for the expression 20 – (3y – 4x) will be 15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the values are x = 4 and y = 7, the expression will be solved as below,
E = 20-(3y-4x)
Substitute the values for the variables:
E = 20-(3 x 7-4 x 4) Multiply:
E = 20-(21-16) Parentheses first:-
E = 20-5
E = 15
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
Currency exchange rates are based on
Answer:
Currency prices can be determined in two main ways: a floating rate or a fixed rate. A floating rate is determined by the open market through supply and demand on global currency markets. Therefore, if the demand for the currency is high, the value will increase.
Step-by-step explanation:
The temperature at 9 am was 8 degrees below zero. The temperature increased every 3 hours, for the next 4 hours. What was the temperature after those 4 hours?
Answer:
20 degrees hope this helped
Step-by-step explanation:
Can someone please help I really need help?!!!!
Which equation correctly applies the distributive property?
A.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
B.(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
C.50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
D.−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
I think is D
PLEASE MARK ME AS BRAINLIEST
Does anyone know the answer???
Answer:
AS
Step-by-step explanation:
PLEASE HELP
i DoNT get the mathhhh
You'll have three copies of the red "-x" rectangles to represent -3x
Next, you'll need five copies of the blue squares with the label "1". This represents 5 since 1*5 = 5.
Lastly, you'll need one copy of the purple rectangle that has "y" on it.
All of this forms the expression -3x+5+y
All of these figures will be above the dashed line to be in the positive region.
If -2a > 6, then _____.
a > -3
a > 3
a < 3
a < -3
Answer:
a<-3
bc -3(-2)=6
so if u go lower which the next number would be -4(-2)=8 which is greaterthan 6
Step-by-step explanation:
A company that manufactures computer chips expects 10 out of every 100 made to be defective. In a shipment of 6400 chips, how many are expected to be defective?
In a shipment of 6400 chips, _____ are expected to be defective.
Answer:
640 are expected to be defective.
Step-by-step explanation:
Multiply 6400 by .10 which equals 640.
The sum of any number and its ______
equals 0.
Answer:
The sum of the real number (a) and its opposite real number (-a) is zero
Step-by-step explanation:
5 + (-5) = 0 and (-5) + 5 = 0
or, 5 - 5 = 0 and -5 + 5 = 0
Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.
QUICKL PLZZZ Don’t worry about the other just answer 8 and 9
Answer:
i hate math
Step-by-step explanation: