Please help with explanation each graph shown is a translation of the graph of f(x)=x^2 wrote the function in vertex form
Answers
Given:
The graph of a function.
To find:
The vertex form of the function.
Solution:
The graph is a U-shaped curve or a parabola with vertex at [tex](-3,-1)[/tex].
The parent function for vertical parabolas is [tex]f(x)=x^2[/tex] with vertex at (0,0).
It means the graph of [tex]f(x)=x^2[/tex] translated 3 units left and 1 unit down the get the given graph.
The vertex form of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
The vertex of the given parabola is at [tex](-3,-1)[/tex]. So, [tex]h=-3,k=-1.[/tex].
[tex]y=a(x-(-3))^2+(-1)[/tex]
[tex]y=a(x+3)^2-1[/tex] ...(i)
The graph passes through point (-2,0). Putting [tex]x=-2,y=0[/tex], we get
[tex]0=a(-2+3)^2-1[/tex]
[tex]1=a(1)^2[/tex]
[tex]1=a[/tex]
Putting [tex]a=1[/tex] in (i).
[tex]y=1(x+3)^2-1[/tex]
[tex]y=(x+3)^2-1[/tex]
Therefore, the vertex form of the given graph is [tex]y=(x+3)^2-1[/tex].
Related Questions
Use the graph to find the factorization of x2 - 7x+ 12.
y= x2 - 7x + 12
+
-5
5
O A. (x - 3)(x-4)
O B. (x+6)(X + 8)
O C. (x-6)(x-8)
O D. (x+3)(x + 4)
Answers
Write an equation to describe the relationship in each table
Answers
Answer:
1:[tex]y=x+6[/tex]
2[tex]y=\frac{1}{2}x[/tex]
Step-by-step explanation:
If I helped, a brainliest answer would be greatly appreciated!
Six friends have these three graham crackers, which were each split into a different number of pieces.
How can the six friends share the graham crackers equally, without breaking any of the pieces?
Answers
Answer:
Two rectangles
Step-by-step explanation:
the normal gram cracker can be broken into 4 rectangles so that's what was probably done when THEY split it ( says it in the question) so they can all get two rectangles!
Happy Saint Patricks day!
( Can I get brainlyist?)
Please give me the right answer. :)
Answers
Answer:
174mm hope this helps Happy Saint Patrick's day
Answer:
11,340 mm
Step-by-step explanation:
I am really really sorry if im wrong
A band director is trying to decide what music to play for the halftime show. To get a sample, the director divides the band into groups based on their grade (freshmen, sophomores, juniors, and seniors). Then she randomly chooses a group and surveys every member of the chosen group. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling helppppppo
Answers
Answer:
random sampling
Step-by-step explanation:
Answer:
A.
Step-by-step explanation: Cluster sampling
in a bowl there are 20 Hershey bars and 50 bags of skittles. what is the ratio of skittles to hershey bars in the bowl
Answers
Answer:
5:2 or in other words 5 to 2
Step-by-step explanation:
The original ratio would be 50:20, but we can divide both sides by 10 to simplify our answer to 5:2.
Answer:
5:2 Or 50:20 (5:2 is the simplified version)
50 bags of skittles to 20 Hershey bars (what it looks like with words)
Step-by-step explanation:
Which equation can be used to find the number that can be added to 410 to get 946?
A
2 – 410 = 946
B
2 +410 = 946
С
410 – = 946
D
410 + 946 = 2
Answers
Answer:
B) 2+410=946
Step-by-step explanation:
Because the question is asking to add and b is the only one with a + sign.
Find the distance between the two points. Ro - (-5, 6) (3,2)
Answers
Answer: 4√5
Step-by-step explanation:
d = √ (x2 - x1)^2 + (y2 + y1)^2
Answer:
d=4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
d=[tex]\sqrt{(3-(-5)^{2} +(2-6)^{2}[/tex]
d=[tex]\sqrt{(3+5)^{2} +(2-6)^{2} }[/tex]\
d=[tex]\sqrt{64+16}[/tex]
d=[tex]\sqrt{80}[/tex]
d=[tex]4\sqrt{5}[/tex]
I Have Some Questions For You Guys, A construction crew cut down thousands of acres of forest to build apartment buildings. How might the food chain be disrupted due to the producers being removed?
A.
The population of deer will have to find a new habitat so they will have food to eat.
B.
The population of coyotes will increase, so the deer will be safe.
C.
The population of deer will increase, so the coyotes will have food to eat.
D.
The population of deer will have to find people to feed them.
Answers
Answer:
A. The population of deer will have to find a new habitat so they will have food to eat.
Step-by-step explanation:
Definitely not the others if you need explanation ask :)
55% of 6th grade students voted in the student election. 440 sixth grade students voted in the student election. How many total 6th graders are in the school
Answers
Answer:
800. Here's why:
Step-by-step explanation:
This indicats that 440 students make up 55% of the 6th grade population. We can write this as
55/440.
We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as
100/x.
55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders
Answer:495
Step-by-step explanation:
440 rounds up to 450,450+450=900-the 10 we rounded so 890-440 is 450 which is half so we need to add 440 to 550 to get 990 and we half 990 to get 495 and that is your answer i think im very sorry if this is wrong btw a sixth grader did this please find out a way to reply to my comment or something like that to tell me if i am right.
Revani has 120 coins. Of the coins, 2/6 are nickels, 2/6 dimes, and the rest are
quarters. What is the ratio of Revani’s nickels to dimes to quarters?
Answers
Answer:
2:2:2
1:1:1
2 to 2 to 2
1 to 1 to 1
Step-by-step explanation:
Pls help me i rlly need help im bad at math
Answers
Answer:
115
Step-by-step explanation:
So you've already driven 124, so you would just subtract taht from 239
Explanation:
You have to subtract. 239 - 124 = 115 miles are left.
The CN tower in Toronto is once the worlds tallest freestanding structure from a certain point the angle of elevation of the top of the tower at 65° from a .50 6.6 m closer to the angle of elevation of the top of the tower is 70° calculate the height of the CN Tower
Answers
Answer:
h o e
Step-by-step explanation:
PLEASE HELP HURRY
Thanks!!!!!!
This is math :)
Answers
Answer:
DON'T PRES THAT LINK THAT IS A HACK AND VIRUS
Step-by-step explanation:
HOPE THIS LETS YOU REMEMBER ABOUT NOT PRESSING THESE LINKS!
There are 25 balls in a bag, made up of two different colours,
There are 12 black balls
You remove 1 ball from the bag
What is the probablility of taking a blue ball? Give you answer as a fraction in simplest
form
Answers
Answer: The answer would be 13/25
Since there are 25 balls and 12 black balls, you want to subtract 12 from 25 to get the number of blue balls. There are 25 balls in total, so the probability of getting a blue ball is 13/25
A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 years. If money is worth 5 ½ % compounded quarterly:
Answers
Answer:
The Value of Payments is P18,557.15
Step-by-step explanation:
The quarterly payment is an annuity payment.
Use the following formula to calculate the present value of the payments.
PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates
Where
Annuity Payment = Quarterly payment = P1,300
Interest rate = 5.12% x 3/12 = 1.375%
Numbers of periods = 4 years x 12/3 = 16 quarters
PV of Annuity = Value of Payments = ?
Placing values in the formula
Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%
Value of Payments = P18,557.15
h
→
4
3
19
4 -3 -2
-1
1
2
3
4
-1
-2+
-3-
4
What is the slope of the line?
Answers
Answer:
3
Step-by-step explanation:
For what value of x is the figure a rectangle?
Answers
Whats 13 1/4 + 16 1/2
Answers
Answer:
29 3/4
OR
29.75
Step-by-step explanation:
1/2 is equal to 2/4 so we can convert it like this-
13 1/4+16 2/4
(13+16=29)
(1/4+2/4=3/4)
29 3/4
OR
29.75
21÷6216 I really need the answer
Answers
Answer:
1/296 I think good luck tho
help asap please , don’t know how to do this lol
Answers
Answer:
no
Step-by-step explanation:
Paul Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40. They share the tips in the ratio 2:3:4. How much more does Brian get over Paul?
Answers
Given:
Total tip = £77.40
Paul, Colin and Brian share the tips in the ratio 2:3:4.
To find:
How much more does Brian get over Paul?
Solution:
Let the shares of Paul, Colin and Brian are 2x, 3x and 4x respectively.
[tex]2x+3x+4x=77.40[/tex]
[tex]9x=77.40[/tex]
[tex]x=\dfrac{77.40}{9}[/tex]
[tex]x=8.6[/tex]
Now, the different between Brian and Paul share is
[tex]Difference=4x-2x[/tex]
[tex]Difference=2x[/tex]
[tex]Difference=2(8.6)[/tex]
[tex]Difference=17.2[/tex]
Therefore, Brain get £17.2 much more over Paul.
Keegan had 3.25 pounds of flour. After making bread, he had 1.75 pounds of flour left over. i know its 1.5 but whats the Equation?
Answers
Answer:
Step-by-step explanation:
loaves per week) 1.0 = 51 pounds of flour 1.5 = 76 pounds of flour 2.0 = 101 pounds of flour 2.5 = 127 pounds of flour 3 = 152 pounds of flour Pounds of Wheat Berries Storage For DIY Bread If you mill your own flour, to maintain your current consumption of bread during a time when you’re drawing on your deep pantry food storage:
12+1+1 1/2+1/8=?? To find the area of the family room
Answers
Answer:149/8
Step-by-step explanation:
help help helllllllllp
Answers
Answer:
que?
Step-by-step explanation:
Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs of adjacent sides congruent. A must have all congruent sides.
Answers
Answer:
1. Trapezoid
2. Kite
3. Square, Rhombus
Step-by-step explanation:
Given - Use the properties of quadrilaterals to complete the statements.
To find - A ..... has exactly one pair of parallel sides.
A ....... must have two pairs of adjacent sides congruent.
A ........ must have all congruent sides.
Proof -
A Trapezoid has exactly one pair of parallel sides.
A Kite must have two pairs of adjacent sides congruent.
A Square, Rhombus must have all congruent sides.
Reason -
A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.A rhombus is a parallelogram with four congruent sides.A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.The equation -1 - 6 = -7 does not simplify to a true statement.
True
False
Answers
Answer: false
Step-by-step explanation:
the statement does simplify to be true.
- 1 - 6 does equal - 7
Answer:
False
Step-by-step explanation:
-1-6=-7 which is equal to -7 therefore it is a true equation
thus meaning that the statement is false
Help with this question
Answers
The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning
Answers
The value of A and B will be 6 and 3 respectively
What is Linear equation with two variables?If an equation is stated in the form ax + by + c=0, it is said to be a linear equation in two variables, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are real values.Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-interceptHow to solve this problem?The steps are as follow:
Given equationsAx +By = 15
Ax - By = 9
Given that both lines intersect at point (2,1), so both above equation can be written as:2A + B = 15
2A - B = 9
Solving the above equation by adding both of them we get:4A = 24
A = 6
Putting value of A in one of equation we will get:2A + B = 15
2(6) + B = 15
B = 3
So the value of A and B will be 6 and 3 respectively
Learn more about Linear equation with two variables here:
https://brainly.com/question/1060504
#SPJ2
2. Simplify the expression below.
6 X 4 = 2
Answers
Answer:
24=2
Step-by-step explanation:
6 ⋅ 4= 2
24 = 2