Answers
======================================================
Explanation:
Recall that vertex form is
y = a(x-h)^2 + k
where (h,k) is the vertex. We want the vertex to be (-3,0) which means that h = -3 and k = 0 must be the case.
Plug those values in to get
y = a(x-h)^2 + k
y = a(x-(-3))^2 + 0
y = a(x+3)^2
Now we need the value of 'a', which determines two things
How vertically stretched or compressed the graph is, and,If the parabola opens upward or downward. We have a > 0 for upward and a < 0 for downward.To determine 'a', we'll use the other point (-5,-4).
So we'll plug in x = -5 and y = -4 and solve for 'a'
y = a(x+3)^2
-4 = a(-5+3)^2
-4 = a(-2)^2
-4 = a(4)
-4 = 4a
4a = -4
a = -4/4
a = -1
The equation y = a(x+3)^2 updates to y = -1(x+3)^2 which simplifies to the final answer y = -(x+3)^2. The answer is choice D.
---------------
As a check, plugging x = -5 should lead to y = -4
y = -(x+3)^2
y = -(-5+3)^2
y = -(-2)^2
y = -(4)
y = -4
This helps confirm the answer.
I'll let you check to see if (-3,0) is on this graph. Plugging in x = -3 should lead to y = 0.
Related Questions
PLEASE NEED HELP!
Solve the equation 6.6g + 9 =4.6g + 15.
a. Find the value of g.
b. Explain how you can check that the value you found for g is correct. If your check does not work,
does that mean that your result is incorrect? Explain.
a.g=
Answers
Answer:
Step-by-step explanation:
g=5
Which set of line segments can be used to construct a triangle?
A) 6cm, 3cm, and 2cm
B) 7cm, 4cm, and 1cm
C) 8cm, 3cm, and 6cm
D) 9cm, 2cm, and 6cm
Answers
In order to make a triangle the sum of the two smaller measurements have to be more then then the longest side of the triangle
Therefore the only answer that works is C because 6+3=9 and 9>8n
what is 4 2/7 + 2 9/14
Answers
Answer:
6 13/14
Step-by-step explanation:
Add the whole numbers first.
6 + 2/7 + 9/14
Find the Least Common Denominator (LCD) of 2/7, 9/14. In other words, find the Least Common Multiple (LCM) of 7,14.
LCD: 14
Make the denominators the same as the LCD.
6 + 2 × 2/7 × 2 + 9/14
Simplify. Denominators are now the same.
6 + 4/14 + 9/14
Join the denominators.
6 + 4 + 9/14
Simplify
6 13/14
May I please have Brainliest!!??
- ElizabethKate
The solution is 97/14 of the given exprsseion.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given expression as :
⇒ [tex]4\dfrac{2}{7} + 2\dfrac{9}{14}[/tex]
⇒ (28 + 2)/7 + (28 + 9)/14
⇒ 30/7 + 37/14
⇒ (60 + 37)/14
⇒ 97/14
Hence, the solution is 97/14 of the given expression.
Learn more about expression here:
brainly.com/question/13947055
#SPJ2
Help im lat on homeowork i need to be done by 11:30 am plssssss
Answers
Answer:
B) -3, -2.4, -2 1/4, -1.5, -1 1/8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
D
Step-by-step explanation:
The last question is your answer because
What I did was that I made each mixed fraction to a decimal
And put them in order and that's how you get your answer.
-1.5,-1 1/8,-2.4,/-2 1/4,-3
This is your answer.
Hope this helps:)
Pls mark brainlist
the radius of a circle is 3 cm. find the area in terms of pi
Answers
Answer:
Our answer would be 28.27cm².
2x = 6+ (-18)
I need the answer
Answers
Answer:
x= -6
Step-by-step explanation
1: subtract
2: divide
3: simplify
6. A ticket to a concert costs $28,55. There is a 5% transaction fee for purchasing the ticket. What is
the transaction fee? What is the total cost of the ticket?
Answers
What is -0.1 + (-513.5) + 513.5?
Answers
Answer:
-0.1
Step-by-step explanation:
Just looking at the expression, -513.5 and 513.5 cancel out because they equal 0. So all you have left is -0.1
Hope this helped! :)
What is equivalent to the quotient of 10 plus x and y minus 3
Answers
Answer:
So answer is [tex]\frac{10+x}{y-3}[/tex]
Step-by-step explanation:
We are given with quotient of 10 plus x and y minus 3.
So, we can write 10 plus x as 10+x and y-3
So, quotient of 10+x and y-3 is [tex]\frac{10+x}{y-3}[/tex]
Tell whether the following equation has one, zero, or infinitely many solutions.
5x + 6 = 2 + 3x
Group of answer choices
A) Infinitely many solutions
B) Zero solutions
C) One solution
Answers
Answer:
Option C: One solution
Step-by-step explanation:
5x + 6 = 2 + 3x
Subtract 3x from both sides;
2x + 6 = 2
Subtract 6 from both sides;
2x = -4
Divide both sides by 2;
x = -2
CAN ANYONE TELL ME WHAT THE ANWSER IS:
Answers
Solving proportions
Solve for k.
10
3
k
9
k
Answers
Answer:
k = 30
Step-by-step explanation:
Given
[tex]\frac{10}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )
3k = 90 ( divide both sides by 3 )
k = 30
Answer:
K=30
Step-by-step explanation:
A recipe requires 3/4 cup of blueberries for one batch of muffins how many batches can be made with 3 3/4 cups of blueberries.
Answers
Answer:
5 batches
Step-by-step explanation:
15/4 divided by 3/4= ^^^
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $78.00
Markdown: 32%
The sale price is $
Pls help me
Answers
Answer:
53.04
Step-by-step explanation:
78 - (78*.32)
78 - 24.96
53.04
Given m||n, find the value of x.
Answers
Both angles will add up to 180°, so we set up a equation where (4x - 19)° and (6x + 9)° equal 180°.
[tex]4x - 19 + 6x + 9 = 180\\\\10x - 10 = 180\\\\10x = 190\\\\x = 19[/tex]
Our answer is x = 19.
at baseball practice the team spends 3/4 hour on hitting 1/2 hour on patching 1/4 hour on base running at this rate how many hours will the team spend on base running when they practice a total of 9 hours?
Answers
Answer:
you spend 1 1/2 hours on base running.
Step-by-step-
Every 1.5 hours you spend 1/4 an hour on base running.
6/1.5=6
6x1/4= 1.5
Two sides of a parallelogram are 530 feet and 120 feet. The measure of the angle between these sides is 138°. Find the area of the parallelogram to the nearest square foot.
Answers
Answer:
42,557 ft²
Step-by-step explanation:
Area of the parallelogram = 2×(Area of ∆)
Area of parallelogram = 2×(½×a×b×sin(θ))
Where,
a = 120 ft
b = 530 ft
θ = 138°
Plug in the values into the formula
Area of parallelogram = 2×(½×120×530×sin(138))
= 120×530×sin(138)
= 42,557 ft² (nearest square foot)
pLSSSS HELP ME I WILL GIVE BRAINLY
Answers
Answer:
1) (-2,-6) 2) (2,-3)
Step-by-step explanation:
Look at the y and x-axis, and determine the point on the number
Who can get this right?
Answers
K/-8=2? A.) 16 B.) -1/4 C.) -16 D.)10
Answers
Answer:
-16
Step-by-step explanation:
(-8)K/-8=2(-8)
K=-16
14.
a. Find the product: (5 - 2X3+ x)
Answers
Given a term of 7 and a common difference of -2 give the arithmetic sequence
Answers
Answer:
7, 5, 3, 1, ...
Step-by-step explanation:
7, 5, 3, 1, ...
The rule for this arithmetic sequence is -2n + 9
which of the following could be the number shown on the number line ?
Answers
Answer:
B
Step-by-step explanation:
Because it close to 6
Answer:
√72
Step-by-step explanation:
This is approximantly 8.5 and is closest to the dot on the number line
Thirty-one students are making structures with blocks. There are 994 blocks shared equally among all 31 students.
How many blocks are left over after all 994 blocks are shared equally?
Answers
Answer:
i think the answer is 34
Step-by-step explanation:
What is the distance between 15 miles east and 12 miles west?
Answers
Answer:
27 miles.
Step-by-step explanation:
if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped
Tyrone baseball team is selling popcorn to raise money for new bats. So far, Tyrone has sold 3 bags of white cheddar popcorn and 5 bags of caramel popcorn. Both kinds of popcorn cost $11.75 per bag. How much money has Tyrone raised so far?
Answers
Answer:
94 dollars
Step-by-step explanation:
3 * 11.75 = 35.25
5 * 11.75 = 58.75
35.25 + 58.75 = $94
Hope it helps!
Is this relation a function?
Answers
Explanation: There is one input going
into 2 outputs
The difference between the sum of 26 and 14, and the quotient of 12
and 4 is
Answers
Answer:
The sum is 40 and the quotient is 3.
Step-by-step explanation:
The sum is the same thing as addition and the quotient is the same thing as division.
Add 26 and 14 together to get the sum of 40 and divide 12 by 4 together to get the quotient of 3.
Figure ABCD is a trapezoid. Find the value of x.
Answers
Answer:
x = 3
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
[tex]\frac{3x+2+4x+3}{2}[/tex] = 13 ( multiply both sides by 2 to clear the fraction )
7x + 5 = 26 ( subtract 5 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3
Can someone please help me I will be forever grateful
Answers
Answer:
5/8
Step-by-step explanation:
1 inches in fraction form would be 8/8 inches, and the button is 3/8 inches, so a 1 inch button is 5/8 inches longer than a 3/8 inch button
Answer:
5/8
Step-by-step explanation:
it takes 5 more inches to get to 1 inch from 3/8
Hope I helped!! If I did please give brainliest because I cant level up without having 2 more ;(
<3 Enjoy,
Dea
