Answer:
definition
The vertex form of a quadratic function is given by
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.
FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.
When written in "vertex form":
• (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
• the h represents a horizontal shift (how far left, or right, the graph has shifted from x = 0).
• the k represents a vertical shift (how far up, or down, the graph has shifted from y = 0).
• notice that the h value is subtracted in this form, and that the k value is added.
If the equation is y = 2(x - 1)2 + 5, the value of h is 1, and k is 5.
If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6.
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button To Convert from f (x) = ax2 + bx + c Form to Vertex Form:
Method 1: Completing the Square
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example.
example Convert y = 2x2 - 4x + 5 into vertex form, and stat
Step-by-step explanation:
Imagine that you and your friends are going to a drive-in movie. The screen, which is 40 feet high, is elevated height 60 feet on posts. If you park your car 77 feet from the screen, at what angle will you be watching the movie?
Answer:
14.48º
Step-by-step explanation:
tan^-1(100/77) = 52.403...
tan^-1(60/77) = 37.926...
52.403 - 37.926 = 14.477
how to solve a one step equation??
Answer:
We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.
Step-by-step explanation:
At 12:00 AM (hour 0 of the day) the tide at a certain beach was at its lowest level of the day: 1.0 feet. At 6:00PM (hour 18 of the day) the tide at a certain beach was at its highest level of the day: 2.0 feet. Assuming that this tide follows a sinusoidal model, about how high would you expect the tide to be at noon?
Answer:
At noon the tide will be at the lowest point which is 1 ftStep-by-step explanation:
please see attached a sketch of the solution for your reference
What is a sinusoidal wave?
Alternatively called a sine wave is a type of wave that shows a repetitive pattern or oscillation, it normally starts from a low point moves to the next point which is usually higher than the previous and repeats itself as the whole process continues
Hi, so I think I got this right but do you have to put a negative symbol anywhere or just leave it how it is? number 12 (sorry is blurry my back camera is broken)
Answer:
Just leave it how it is, you don't have to do anything with the negative symbol.
Could I please have BRAINLIEST?what is A U B, if A={0,2,3,4,9,11}and B = {2,3,6,8,9,10}? A.{0,4 11 } B.{2,3,6,9} C.{1} D.{1,2} what is the answer
Answer:
Outside the circle we place the other numbers 0, 2, 4, 6, 8 and 10 that are in E but not in A.
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!
Use an area model to multiply (4x+3)(2x+5)
Fill in the blanks with the correct numbers.
If you place a 37 ft ladder against the top of a 12 ft building how many ft will the bottom of the ladder be from the bottom of the the building
Answer: 25 feet
Step-by-step explanation:
If you place a 37 foot ladder against the top of a 12 food building, since 37 is greater than 12 the ladder will keep going past the building.
37-12=25
the ladder will be 25 feet from the bottom of the building
hope this helped :)
What Can't Walk, But Can Run?
Answer:
All vehicles, cycles, motorcycles, scooters, cars, bus, trucks, trains, etc. can run but can't walk. Aeroplanes can run and fly but can't walk.
Step-by-step explanation:
Answer:
your mouth, or a river
Step-by-step explanation:
Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter Y. If you
7
pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose another
baa has 200 letter tiles in it and 168 of the tiles are the letter Y. Write the probability of Dickina a tile
25
A car travels at a constant speed, as shown on the double number line. How far does the car travel in 14 hours?
Time (hours) 1 2 3
Distance (kilometers) 70 140 210 (for 3)
How far does the car travel in 14 hours? Explain or show your reasoning
Answer:
980km
Step-by-step explanation:
Multiply 14 by 70
John 3 miles on Monday, 2 miles on Tuesday. He ran 4 more miles on Wednesday then he did on Monday. How many miles did John run Monday through Wednesday?
Answer: John ran 10 miles through Monday and Wednesday.
Step-by-step explanation: He ran for miles on 4 but 4 more than Monday and he ran 3 miles on Monday, so you add 4 + 3 which = 7 then you add 3 to 7 because he ran 3 miles on Monday then you get 10.
PLEASE I NEED HELP WITH THIS!!!! Domain! I WILL MARK U AS THE BEST!
1. What is the domain of the graph linear function?
A- x > 1
B- x >= 1
C- x > -1
Answer:
c
Step-by-step explanation:
big brain and the world is not
∠A and ∠B are supplementary. The measure of ∠A is 34°.
What is the measure of ∠B?
Enter your answer in the box.
Answer146°
Step-by-step explanation:The supplement of 34° 34 ° is the angle that when added to 34° 34 ° forms a straight angle (180° 180 °). 180°− 34° 180 ° - 34 ° Subtract 34 34 from 180 180.
Supplementary angles have sum 180°
[tex]\\ \sf\longmapsto x+34=180°[/tex]
[tex]\\ \sf\longmapsto x=146[/tex]
is it d? or am i wrong?
Answer:
thee correct answer is c not d
Step-by-step explanation:
Please help me with find the slope
Answer: Finding the slope
Step-by-step explanation:
I'm sorry but the pic is a but blurry so basically you pick two points and use the equation 2y-y1/2x-1x then simplify if you can find a better picture I would love to help.
Answer my question please on my page :)
What's the value of x? (Hint: it's not 7) and please explain
Hey there!
4x + 7 + 35 = 90°
4x + 42 = 90°
SUBTRACT 42 to BOTH SIDES
4x + 42 - 42 = 90 - 42
CANCEL out: 42 - 42 because it give you 0.
KEEP: 90 - 42 because it help solve for the x-value.
NEW EQUATION: 4x = 90 - 42
SIMPLIFY IT!
4x = 48°
DIVIDE 4 to BOTH SIDES
4x/4 = 48/4
CANCEL out: 4/4 because it give you 1
KEEP: 48/4 because it give you the x-value
NEW EQUATION: x = 48/4
SIMPLIFY IT!
x = 12
Therefore, your answer is: x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What of the following statements is correct
Answer:
All of these
answer D is correct
hope this helps you.
hope this helps you.Brainliest appreciated
hope this helps you.Brainliest appreciatedgood luck! have a nice day!
Please help on this practice paper my parents couldn’t solve this either
We are given that ,
[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}=a+b\sqrt{2}}[/tex]
Consider LHS;
[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}}[/tex]
Rationalizing the denominator we have ;
[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}\times \dfrac{1+\sqrt{2}}{1+\sqrt{2}}}[/tex]
[tex]{:\implies \quad \sf \dfrac{(12+8\sqrt{2})(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}}[/tex]
[tex]{:\implies \quad \sf \dfrac{12(1+\sqrt{2})+8\sqrt{2}(1+\sqrt{2})}{1-2}}[/tex]
[tex]{:\implies \quad \sf \dfrac{12+12\sqrt{2}+8\sqrt{2}+16}{-1}}[/tex]
[tex]{:\implies \quad \sf \dfrac{28+20\sqrt{2}}{-1}}[/tex]
[tex]{:\implies \quad \sf -28-20\sqrt{2}}[/tex]
Hence, we can conclude that ;
[tex]{\bf a=-28}[/tex] [tex]{\bf b=-20}[/tex]In AABC, a = 230 cm, b = 310 cm and C=22°. Find the area of AABC, to the nearest
square centimeter.
Answer:
45 cm
i took the test
PLS I NEEDDD HELP PLS I CAN GIVE BRAINLIEST
Answer: 28 degrees.
Step-by-step explanation:
See the attached image. 1.2.3 is just seperate angles to help see more details.
Answer:
28°
Step-by-step explanation:
[tex]m\angle UVI +m\angle IVW =m\angle UVW[/tex]
(By angle sum postulate)
[tex]\implies (3x+7)\degree +(12x+6)\degree =118\degree[/tex]
[tex]\implies (15x+13)\degree =118\degree[/tex]
[tex]\implies 15x+13 =118[/tex]
[tex]\implies 15x =118-13[/tex]
[tex]\implies 15x =105[/tex]
[tex]\implies x =\frac{105}{15}[/tex]
[tex]\implies x =7[/tex]
[tex]m\angle UVI =(3x+7)\degree[/tex]
[tex]\implies m\angle UVI =(3*7+7)\degree[/tex]
[tex]\implies m\angle UVI =28\degree[/tex]
What is the period of the function f(x) shown in the graph?
Answer:
[tex]\dfrac{\pi }{2}[/tex]
Step-by-step explanation:
The period of the function is from one peak to the next (or from one trough to the next).
[tex]\sf \implies period=\dfrac{\pi }{2}[/tex]
**see attached for the measurement of the period for this function**
brainiest to who ever answers first
Answer:
18/24 for the first one
Step-by-step explanation:
Use the drop-down menus to complete the statements to match the information shown
by the graph.
Answer:
Dont know what the drop down options are
Step-by-step explanation:
however, i would say gold costs less then platinum because the line for gold is less then that of platinum
Im pretty sure for the second part the graph shows the unit rate in Dollars
Answer:
its the answer in the photo it is correct on ttm
Which statement best explains the value of 12-(-4)??
Answer:
16................
Step-by-step explanation:
Above
Answer:
The answer is 16.
Step-by-step explanation:
Negatives can be tricky, but once you get the hang of it, it will be much easier! The rule to remember here is:
"Anything 'minus a negative' just means plus, because the negatives cancel each other out."
a. For example, 4 -(-1) is the same thing as 4+1, which equals 5.
b. In this problem, 12-(-4) is the same thing as 12+4, which equals 16.
I hope this helps! Feel free to give me Brainliest if you feel this helped. :)
some help please ???????????
Select all of the following that are examples of the Distributive Property? (A) 3(x + 4) = 3x + 12 (B) 2(4 + 8) = 24 + 28 (C) x(5 + 5) = 5x (D) 7(1 + 9) = 7 + 9 (E) 6(2 + 1 + 5) = 12 + 6 + 30 (F) 7(5 - 4) = 35 - 28
Answer:
[tex]3(x + 4) = 3x + 12\:\boxed{\tt Yes}[/tex]
[tex](4 + 8) = 24 + 28\:\boxed{\tt No}[/tex]
[tex]x(5 + 5) = 5x\:\boxed{\tt Yes}[/tex]
[tex]7(1 + 9) = 7 + 9\:\boxed{\tt No}[/tex]
[tex]6(2 + 1 + 5) = 12 + 6 + 30\:\boxed{\tt No}[/tex]
[tex]7(5 - 4) = 35 - 28\:\boxed{\tt No}[/tex]
~
Aaron travels 3 miles per hour in still water on his kayak. The expression 12 3 + x can be used to find the time it takes for him to travel with the current. If x represents the rate of the current, what does the denominator represent? A. the rate Aaron travels against the current B. the rate of the current C. the total distance Aaron kayaks D. the rate Aaron travels with the current
Answer:
A. The rate Aaron travels with the current
Step-by-step explanation:
Distance travelled = 3 mph in still water(downstream)
Time it takes for him to travel with the current = 12 / (3+x)
Where,
x = rate of the current
Denominator, 3 + x = The rate Aaron travels with the current
Therefore, the correct answer is
A. The rate Aaron travels with the current
PLEASE HELP The hourly wage of some Toyota automobile assembly line workers is being increased annually by the same percentage
If their wage went from $6.80 to $10.19 in 7 years what is the doubling time?
Answer:
1928374.193 %
thats my answer
5b - 5 - 126 - 7
I need steps please and thank you
Answer:
5b - 138
Step-by-step explanation:
Alright let's break it down.
First, you can see that each constant (5,126,7) have negatives in front of them. SO you are going to subtract each one of them.
When subtracting negatives it's basically just adding them together. How to do it is simply adding:
5 + 126 + 7
Then you get 138.
BUT, it was negative numbers. So it's actually -138.
Then bring back the 5b and your answer is:
5b - 138
Mark brainliest if you can :D
the volume of a cube depends on the length of its sides. The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(4) = 64?
Answer options in the picture.
Answer:
B. A cube with side lengths of 4ft has a volume of 64 cubic feet.
Step-by-step explanation:
The best interpretation of the function is that a cube with a side length of 4ft has a volume of 64ft³;
Function;
v(s) = s³
s is the side of the cube;
Now, if we input 4, the cube is 64
A function simply relates a set to another one.
So, answer choice B is the right one