Find the vertex of the parabola y = 2x2 + 10x + 8

Find The Vertex Of The Parabola Y = 2x2 + 10x + 8

Answers

Answer 1

Answer:

The vertex is -5/2 and -9/2

Step-by-step explanation:

I looked it up on math

way

Answer 2

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.

Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.

Further, the vertex of the parabola can be written as,

h =−b/2a

h = -10 / 2(2)

h = -10/4

h = -2.5

k = -(b² - 4ac) / 4a

k = -[10² - 4(2)(8)] / 4(2)

k = (100 - 64) / 8

k = -36/8

k = -4.5

Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ2


Related Questions


show your work please :)

Answers

Step-by-step explanation:

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ASAPPPP HELP
A 10 foot ladder is placed against a wall at an angle of 25° with the
ground. How far up the wall does the ladder reach?
Round your answer to the nearest whole foot. DO NOT INCLUDE
UNITS IN YOUR ANSWER

Answers

Answer:

the ladder reaches 8 feet up

Step-by-step explanation:

:D

sin25 = b/10
b=10sin25
4.2 ft

Line segments AB and CD are both part of the dame non-vertical line,and the slope of line segment AB is 6, hsing similar triangles,what can you show the slope of line segment CD to be?
A. -6
B. -1/6
c. 1/6
d. 6​

Answers

Answer:

6

Step-by-step explanation:

HELP 13 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]4^{-8} \\4^{-2}\\4^{8}\\4^2[/tex]

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

Given the triangles below, determine if they are similar. *
2 points
H
S
32
48
M
30
44
e
O Yes, A MHT ~ AQSW
O Yes, A MHT ~ AQWS
No, they're sides are not congruent
O No, they're sides are not proportional

Answers

Answer44

Step-by-step explanation:

5+5=10

Ayúdenme con estos problemas :(

Answers

En la primera tiñes que poner un tres en la parte de abajo y subir 5 para ariba y as lo mismo con los demás pero con los números que te ensaña espero esto te ayudo

If X + 3Y = 5 and 2X - Y = 3, then X is equal to

Answers

Answer:

X=2

Y=1

That's the answer

help. i’ll mark brainliest or whatever

Answers

Answer:

angle 1 is 140 degrees and angle 2 is 70 degrees

Step-by-step explanation:

it is two parallel lines with an intersecting line. This means that the two angles will be the same. Your welcome btw ur mom is hot

Answer:

Angle 1 is 140 degrees and Angle 2 is 70 degrees.

Please help!! I will give brainliest!

Answers

Answer:

Hope this helps you a little

Step-by-step explanatio

its  2nd one (nice pfp jucie wrld is a legend)

Solve for k.
10
1323
3
9
CAN U HELP PLEASE

Answers

Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

[tex] \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30[/tex]

hope it helps

Have a nice day

Which statements are true about the graph of f(x) = x sin 1/x?

Answers

Answer:

II and III

THATS IIITTT WHY SO MANY QUESTION!!!???

Convert the exponential to a logarithmic form: 104 = 10,000
Question 13 options:


A)
log 4 = 10,000


B)
log 10 = 4


C)
log 10,000 = 4


D)
log 4 = 10



pleasseeeeee

Answers

Answer:

C) log 10.000=a,5%4%4(1):53))?/

Answer:

c

log 10,000 = 4

Step-by-step explanation:

got it right on the test

A figure has an area of 64 square units. Which describes the area of the figure after a dilation with a scale factor of 3/2?
A)96 square units
B)144 square units
C)112 square units
D)32 square units

Answers

I think your answer would be a)96 square units

Answer Please !

Choose The Correct Reason

{Answer Boxes are similar to all questions :
A: Base angles of an isosceles triangle are congruent
B: Given
C: Def. of an isosceles triangle
D: AA Similarity Theorem
E: Substitution property}

(Question 1 )
Reason 1

(Question2)
Reason 2 < type you’re answer From Answer Boxes>

(Question 3)
Reason 3

(Question 4)
Reason 4

(Question 5)
Reason 5

(Question 6)
Reason 6

Answers

the answer is B i just did it
Your answer should be answer B

£100 is divided between Fiona, Pip and Sara so that Fiona gets twice as much as Pip, and Pip gets 3 times as much as Sara. How much does Pip get?

Answers

Step-by-step explanation:

if pip gets x

sarah gets x/3

fiona gets 2x

so x+x/3 +2x=100

10x/3=100

x=30

3a≥ -6
solve for a
PLEASE

Answers

Answer: Divide each term in 3 a ≥ − 6 by 3 . 3 a 3 ≥ − 6 3 Cancel the common factor of 3 . Tap for more steps... a ≥ − 6 3 Divide − 6 by 3 . a ≥ − 2 The result can be shown in multiple forms. Inequality Form: a ≥ − 2 Interval Notation: [ − 2 , ∞ )

can someone help pls​

Answers

Answer:

Step-by-step explanation:

-1 =5

0=0

1=-3

2= -4

3=-3

4=0

Answer:

-1 = 5

0 = 0

1 = -3

2 = -4

3 = -3

4 = 0

5 = 5

Step-by-step explanation:

IF THS IS THE ANSWER CAN U PLZ MAKE ME BRAINLIEST

THANK U AND BE SAFE AND HEALTHY :)

A movie theater sell snacks to 30% of it's customer each day. On Saturday, 186 customers bought snacks. How many customers went to the theater on Saturday????

A. 242
B. 520
C. 558
D. 620

Answers

Answer:

620 or D

Step-by-step explanation:

Answer:

620/D I believe........

The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 18° at the centre of the polygon.
How many sides does the polygon have?

The diagram is not drawn to scale.​

Answers

Answer:

Step-by-step explanation:

The sum of central angles must equal 360 degrees.

s=360/18

s=20

I will give brainliest!!!

Answers

Answer:

SA=72

Step-by-step explanation:

18+18=36

12+12=24

6+6=12

36+24+12=72

What is 5.545 as a percent?​

Answers

Answer:

545.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

5.545 ×

100

100

= (5.545 × 100) ×

1

100

=

554.5

100

Write in percentage notation: 554.5%

Compare multiplying a number by 3 and by 1 third. *

Answers

Answer:

Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.

Out of 500 milliliters of hydrochloric acid, 237 milliliters were left after an experiment that used the acid. How much acid was used in the experiment? A. 156 ml B. 189 ml C. 263 ml D. 307 ml

Answers

Answer:

c. 263 ml

Step-by-step explanation:

have a nice day

cya

Can someone solve this

c - 25 - (-13)

Answers

Answer:

c−12!

Step-by-step explanation:

Use Cymath on g0ogle for other math questions so you don't waste your points!

Answer:

=c - 12

Step-by-step explanation:

What is the answer to this question?

What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Radius = 8 mm

Answers

The answer is 2143.57mm

EY YO I NEED HELP 24x5

Who wants to talk lol

Answers

Answer:

THE ANSWER IS 120

Step-by-step explanation:

AND SURE LETS TALKK

Answer:

24 × 5 is equal to 120

hi hi hi hi

:) :) :) :) :) :) :) :) :)

f(x)=4x^2 − 10x+2
Find f(−7)

Answers

Answer:

f(-7)=268

Step-by-step explanation:

f(-7)=4x^2 − 10x+2

f(-7)=4(-7)^2-10(-7)+2

f(-7)=4(49)+70+2

f(-7)=196+72

f(-7)=268

Answer:

198

Step-by-step explanation:

4(-7)^2+70+2

196+2=198

i will literally give you brianlist

Answers

11
a is the correct answer
the y-intercept is 11
because W=2t+11
and if u put 0 for t
W=2(0)+11
W=0+11=11
so the y-intercept is 11

Use the exchange rate £1 = €1.15 to convert €23 into £.

Answers

Computing €23 divided by 1.15€/£ gives £20


Work out 3/5 of 900

Answers

Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x

900=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

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