Given the vertex (2, -1 )and the point(0,7), write the vertex form equation of the
quadratic function
Pls help!!!
Answers
Answer:
f(x) = 2(x - 2)² - 1
Step-by-step explanation:
Given the vertex, (2, -1) and the point, (0, 7), we can plug these values into the vertex form of the quadratic function:
f(x) = a(x - h)² + h
where:
vertex = (h, k)
a = determines whether the graph opens up or down, and the wideness or narrowness of the parabola.
h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
We could substitute the given values into the vertex form, and solve for the value of "a":
f(x) = a(x - h)² + h
7 = a(0 - 2)² - 1
7 = a(-2)² - 1
7 = a(4) - 1
Add 1 to both sides:
7 + 1 = a(4) - 1 + 1
8 = 4a
Divide both sides by 4 to solve for a:
8/4 = 4a/4
2 = a
Since a = 2, and the vertex = (2, -1) then we could plug this value into the given function:
f(x) = 2(x - 2)² -1
Attached is a screenshot of the graph where it contains the given points.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
Related Questions
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
Answers
Answer:
The figure will have 2 triangles and 2 rectangles .
The triangles have a combined area of 12 m2.
The rectangles have a combined area of 25 m2.
The figure has a total area of 37 m2.
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
Given,
The figure is given.
We need to complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
What is the area of a triangle and rectangle?Area of a triangle: 1/2 x base x height
Area of a rectangle: length x width
We have,
Two triangles and one rectangle.
E__3__F
|. |
| | 4m
_A_4m_G|_____| D
/. | \. /
/. | \. /
/ 4 \. /
/. | \. /
/. | \. /
B. 6m C.
Area of triangle ABC
= 1/2 x 6 x 4
= 12 m²
Area of triangle ACD.
= 1/2 x 7 x 4
= 14 m²
The total area of the triangles.
= 12 + 14
= 26 m²
Area of the rectangle EFDG
= 4 x 3
= 12 m²
The total area of the figure.
= 26 + 12
= 38 m²
Thus,
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
Learn more about the area of triangles and rectangles here:
https://brainly.com/question/27701864
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The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round to the nearest tenth.
1. 5 cm
2. 2 cm
3. 10 in.
4. 12 m
Answers
Answer:
C
Step-by-step explanation
10 inches
Find two consecutive whole numbers that [tex]\sqrt{x} 94[/tex] lies between.
Answers
9x9 is 81 and 10x10 is 100
Please answer number 19 please I beg you!
Answers
Answer:
147,000,000
Step-by-step explanation:
152,000,000+147,000,000=299,000,000
Step-by-step explanation:
299,000,000-152,000,000=Male
Male=147,000,000
=1.47×10'8
45. Anela and Jacob plan to attend a concert in Brady.
Anela will drive 375 km to Brady at a constant speed
of 75 km/hr, stopping one time for a 30-minute break.
Jacob will start 600 km from Brady and will drive at a
constant speed of 90 km/hr for 2 hours. He will take a
1-hour break and then drive to Brady at a constant
speed of 70 km/hr. To the nearest 0.1 hour, Jacob must
leave how much earlier than Anela in order for them to
arrive in Brady at the same time?
B. 2.5
C. 3.1
D. 3.5
Answers
Jacob must leave 3.5 hours earlier than Anela to arrive at same time.
What is speed?The distance traveled by an object in relation to the amount of time it takes to travel that distance is one way to define speed. Simply put, it is a measurement of an object's speed without providing direction. The term "velocity" refers to the speed at which we can obtain direction.
Given Anela distance to Brady = 375 km
speed of Anela = 75 km/hr
time taken by Anela is distance/speed
time taken by Anela = 375/75 = 5 hours
total time taken by time taken by Anela = 5 hours + 30 minute
30 minutes = .5 hours
total time taken by time taken by Anela = 5 hours + 0.5 = 5.5 hours
Jacob distance to Brady = 600 km
distance covered in 2 hours with speed 90 km/hr
= speed x time = 90 x 2 = 180 km
distance left = 600 - 180 = 420 km
time taken for 420 km at speed 70 km/hr
= 420/70 = 6 hours
total time taken by Jacob = 2 + 1 + 6 = 9 hours
difference in time of Jacob and Anela = 9 -5.5 = 3.5 hours
Hence Jacob should leave 3.5 hours early.
Learn more about speed;
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So I have this question I cannot figure out 3w+w2+1=10−w
Answers
Answer:
Answer: w is 1.6 or. -5.6
Step-by-step explanation:
• I guess the question asks to find the value of w
[tex]{ \rm{3w + {w}^{2} + 1 = 10 - w }}[/tex]
• arrange the equation in a quadratic equation format. i.e; ax² + bx + c = 0
[tex]{ \rm{ {w}^{2} + (3w + w) + 1 - 10 = 0 }} \\ \\ { \rm{ {w}^{2} + 4w - 9 = 0 }}[/tex]
• let's solve the equation using the quadratic formular
[tex] \hookrightarrow \: { \tt{w = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ [/tex]
a is 1b is 4c is -9• Substitute following the mathematical operation rules:
[tex]{ \rm{w = \frac{ - 4 \pm \sqrt{ {4}^{2} - (4 \times 1 \times - 9) } }{(2 \times 1)} }} \\ \\ { \rm{w = \frac{ - 4 \pm \sqrt{52} }{2} }}[/tex]
• split the result:
[tex]{ \rm{either \: \{w = \frac{ - 4 + \sqrt{52} }{2} \} \: \: or \: \: \{w = \frac{ - 4 - \sqrt{52} }{2} \} }} \\ \\ { \rm{either \: \{w = 1.6 \} \: \: or \: \: \{w = - 5.6 \}}}[/tex]
PLEASE HELP ME!! no spame
Answers
I’m adding random stuff to send the answer!:)
Answer:
D. 1/8Step-by-step explanation:
Use the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(-4-(-5))/(0-(-8))=1/8[/tex]What number is represented by 4x2+17x+2if x=10?
Answers
Answer:
4x²+17x+2=52
Step-by-step explanation:
Step-by-step explanation: The given equation is 4x2 +17x+2. Here, lets substitute the value of x = 10. So, the equation simplifies to 4× (10)²+17(10)+2 , = (4 x 100) + 170 + 2 = 400 + 170 + 2 = 572 So, at x = 10, 4x²+17x+2=52
On Dan's phone, 30% of the apps are are gaming apps. If 12 of his apps are gaming apps, how many total apps are on his phone?
Answers
Answer:
Dan has 40 total apps
Step-by-step explanation:
30% = 12 apps
10% = 4 apps
10% · 10 = 100%
4 · 10 = 40 apps
Angle x and angle y are complementary angles. If m
Answers
The solution to a system of two equations is "no solutions". Describe the graph of the two equations.
two parallel lines
two perpendicular lines
two intersecting lines
two overlapping lines
Answers
Answer:
two parallel lines
Step-by-step explanation:
the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection
Math lab work.
For tomorrow!
Answers
Rate as BRAINLIEST, if any doubt ask.
7.) -2
8.) 2
9.) -21
10.) 28
11.) -6
12.) 27
13.) -22
14.)-23
15.)-28
16.) 13
17.) 28
18.) 25
19.) >
20.) <
mathematics algebra sat
Answers
Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Hope this helps!
HELPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
the answer is 2
Step-by-step explanation:
sorry if I am wrong
Step by Step explanation:
The question is asking for the median value of a range of values, and since there is 9 numbers, the midmost number is between the 4th and 5th number (2 and 2). Due to us having 2 numbers, we then need to find the average between the two numbers, (2+2)/2 which is 2.
5.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).
Answers
Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
A special is going on at the movies. You pay a flat fee $10 to watch movies all day and then $3
Answers
Answer:
1: C=3b+10
2:
x = the number of candy bars purchased
3 = the amount spent on soft drinks
8x = number of candy bars
18 = total amount spent
Step-by-step explanation:
guys pls help me!!!!!!
Answers
Answer:
[tex]x = 127[/tex]
Step-by-step explanation:
Vertical Angles
PLEASE HELP I REALLY DONT UNDERSTAND THANK YOUU
Answers
Answer:
x=34º
Step-by-step explanation:
a line always = 180º
so y+81=180
y=99º
a triangle is also always 180º total
so x+y+47=180
x+99+47=180
x+47=81
x=34
Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy
Answers
Answer:
.$5.25
Step-by-step explanation:
:|
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
14 yd
15 yd
17 yd
Answers
Answer:
A = 42.5 yd²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 17 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 17 × 5 = [tex]\frac{1}{2}[/tex] × 85 = 42.5 yd²
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 15 feet per
second. One day, the equipment elevator begins to descend. After 21 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 17 seconds? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is feet.
Answers
Step-by-step explanation:
The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface
ii. The miners elevator is deeper than that of the equipment.
The speed of an object is the rate at which the object moves.
i.e speed = \frac{distance}{time}
time
distance
Thus,
Speed of the equipment elevator = 4 feet per second
Speed of the miners elevator = 15 feet per second.
Time of descent of the equipment elevator = 30 + 14
= 44 seconds
So that, the distance of the elevator at this time is;
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 4 x 44
= 176
distance = - 176 feet
The distance of the miners elevator after 14 seconds is:
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 15 x 14
= 210
distance = - 210 feet
Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.
Therefore, the miners elevator is deeper than that of the equipment.
In a certain class, 18/25 of the students got problem 10 wrong on Friday's math test.
Answers
Answer:
72% i think but I may be wrong
Someone pls help me I will make you as brain
Answers
Answer:
It's -3 :)
Step-by-step explanation:
g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!
Explanation: I got it right
Find the missing angle measures.
Y = ?
Z = ?
X = ?
Answers
Answer:
Y = 63
Z = 85
X = 130
step-by-step explanation:
On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?
Answers
Answer:
speed=distance/time
8=distance/15
120km= distance
Step-by-step explanation:
How do i solve this?
Answers
Odita wants to know if the students in her school like to play cricket. I am only going to ask the boys. Will the results of her survey give a fair result? Give a reason for your answer.
Answers
The vehicle's fuel efficiency is at least 40 miles per gallon
Answers
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis. What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}} cm⋅ ∘ C W start fraction, start text, W, end text, divided by, start text, c, m, end text, dot, degrees, start text, C, end text, end fraction?
Answers
Kiara peeled 2 oranges every 4 hours. At that rate, how many would she peel in 12 hours?
please put an explanation, thank you!