The vertex of a quadratic function is (5,-6), what is the equation of the axis of symmetry in this function?

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

A quadratic equation:

f(x) = y = a*x^2 + b*x + c

Has a vertex in a point:

(h, k) such that:

h = -b/2a

and:

k = f(-b/2a)

And the axis of symmetry (this is the line that cuts the graph in two halves) is:

x = h.

In this case, the vertex is (5, -6)

Then the axis of symmetry is:

x = 5.


Related Questions

Eight people were asked what the balance of their checking account at the beginning of this past week was and how much it increased or decreased by the end of the week.

Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the checking account in hundreds of dollars.



Name
Beginning balance

(in thousands of dollars)

Change in checking account

(in hundreds of dollars)

Billy 6 6
Barbara 4 5
Eli 3 2
Ken 1 5
Lara 8 4
Lindsey 3 8
Marie 4 2
Eduardo 5 3

Answers

Billy because she has has has beginning balance

Answer:

:D

Step-by-step explanation:

:DDDD

plzzzzz help will mark brainliest

Answers

answer: -5.3’ Fahrenheit

A hose is used to fill an empty wading pool. The graph shows volume (in gallons) in the pool as a function of time (in minutes). Which of the following defines a formula for computing the time, 1, as a function of the volume, v?​

Answers

You have to provide the options

can someone help me

Answers

i believe the equation would be: [tex]3+\frac{1}{4} c=9[/tex] and there would be 24 pieces of cake! <3

Find the value of x, (x-7)°(2x+1) °
Pleas help!!!!

Answers

Answer:

x = 32

Step-by-step explanation:

2x+1 + x-7 = 90

3x - 6 = 90

3x = 96

x = 32

I need to find the value of x

Answers

Answer:

15°

Step-by-step explanation:

x= 89-44-30= 15°

:))


You are going to Store E and your friend is going to Store F. Where on line n should you park to minimize the
distance you both will walk?

a. point Y
b. point G
c. point P
d. point 1

Answers

Your answer for that is gonna be point P

X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft

Answers

70ft is the answer I think

Mangle XYZ is shown witch triangle must be similar to triangle XYZ

Answers

Answer:

A

Step-by-step explanation:

A triangle with two angels that mesure 40

AREA OF CIRCLES PLS HELPP​

Answers

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

What value of x can make 4x-10=18 true?

Answers

Answer:

Im pretty sure 7

Step-by-step explanation:

4×7=28 28-10=18

Answer:

7

Step-by-step explanation:

[tex]4(7) - 10 = 18 \\ 28 - 10 = 18 \\ 18 = 18[/tex]

To the nearest tenth, what is the length of the hypotenuse of a right triangle whose legs are 9 centimeters and 14 centimeters

Answers

Use pythagorean theorem
Hope this helps xoxo

Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1/4​

Answers

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

Answer:  B) -1/4

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

-------------

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

How do I find the indicated value?

Answers

Step-by-step explanation:

using this

t_n = a+ (n-1)d

It costs $8.31 to power one laptop computer for one year. How much does it cost to power 10 laptop computers for one week? Round to the nearest cent

Answers

Answer:

63

Step-by-step explanation:

There are 52.143 weeks in a year so 52.143/8.31=6.3

So 10 x 6.3= 63

Solve for x. Round your answer to the nearest tenth.
14.
х
11
X=
type your answer...

Answers

Answer:

8.7

Step-by-step explanation:

14² - 11²  = x

196-121= 75

√75= 8.66

so rounding it would be 8.7

A 4-cup bottle of shampoo costs $24.84. What is the price per pint?

Answers

$20.28

hope its helpfull .....

Jason used the commutative property to write an expression that is equivalent to 3 4 + 5.6b + 9. 3 4 + 5.6b + 9 is equivalent to 9.0 + 56b + 3.4. Is Jason’s work correct?

Answers

Answer:

Yes, Jason's work is correct.

Step-by-step explanation:

When you use the commutative property, you can swap the numbers position and still get the same answer.

Hope this helps!!

Answer:

The answer is A No, he changed the terms

Step-by-step explanation:

Pls, help me with this question

Answers

Answer:

37.5

Step-by-step explanation:

∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts

An inscribed angle is equal to half the measure of its intercepted arc.

If arc AC = 75

Then x = [tex]75\frac{1}{2}[/tex]

75 / 2 = 37.5

Hence, x = 37.5

the answer is
37.5 :)

The area of a rectangle is 96 square kilometers. Its width is 4 km less than its length.
Find its dimensions.
(please no links)

Answers

The length is 12 km and the width is 8 km
12x8=96

crikey expression to show whether it is equivalent to 3 * 9 or to 2x3x9​

Answers

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Giving brainlist to whoever answers

Answers

Correct answer is B
10/15=.666
This is RW divided by RT
Now you have to use the scale factor. Multiply by 18 to get WV
18 x 0.666 = 12

Good Luck Thnks for brainiest :)

HELP ASAP!!.
50/5+2- [3+9] -3+7
Please show work

Answers

Answer:

4

Step-by-step explanation:

50/5+2-[3+9]-3+7

=10+2-12-3+7

=12-12-3+7

=-3+7

=4

Answer:

the correct answer is 4

Step-by-step explanation:

first your going to calculate the parentheses

[3+9]=12

which leaves the equastion as

50/5+2-12-3+7

then multiply and divide going left-right

50/5=10

which makes the equastion

10+2-12-3+7

then add and subtract going left to right so it would be

10+2=12-12=0-3=-3+7=4

8,706, 2812
What is the value of 7

Answers

Answer:

7 million is the answer to this question

Type the missing number that makes these fractions equal:?/84=18/28

Answers

Answer:

la respuesta es 54/84

Step-by-step explanation:

54/84=0,642857

18/28=0.642857

An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?


A. 27 Square Feet
B.45 Square Feet
C. 28.5 Square Feet
D. 57 Square feet


(the top of the rectangle is 2 if you can’t see it.)

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 57 Square feet

Step-by-step explanation:

So first you do 4.5x2=9.0 then you times that by 2 so 9.0x2= 18

Next, you do 4.5x3= 13.5 then you times that by 2 so 13.5x2= 27

Lastly, you do 2x3 on one side and 2x3 on the other side. For both of those you get 6, so you do 6+6 and you get 12

Finally you do

18+27+12=57

My favorite bagel shop has 12 types of bagels, 10 types of cream cheese, and can choose to have it toasted or not . How many different bagels can order?

Answers

Answer: 240

Step-by-step explanation:

Given

Shop has 12 types of bagels, 10 types of cream and a option for roast

For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast

So, total no different bagels that can be made out of the given is

[tex]\Rightarrow 12\times 10\times 2\\\Rightarrow 240\ \text{types}[/tex]

choose all of the points that are solutions to y<3x+2:
A. (0,0)
B. (0,2)
C. (1,4)
D. (1,7)
E. (2,6)
F. (2,8)

Answers

Answer:

ACE

Step-by-step explanation:

✓ A. (0, 0) [y < 3x + 2 → 0 < 2]

× B. (0, 2) [y < 3x + 2 → 2 < 2]

✓ C. (1, 4) [y < 3x + 2 → 4 < 5]

× D. (1, 7) [y < 3x + 2 → 7 < 5]

✓ E. (2, 6) [y < 3x + 2 → 6 < 8]

× F. (2, 8) [y < 3x + 2 → 8 < 8]

Then find the values of x and y.

Answers

Answer:

y = 4

x = 104°

Step-by-step explanation:

3y = y + 8

-y -y

2y÷2 = 8÷2

2y÷2 cancels out so

8 ÷ 2 = 4

y = 4

all sides are congruent so all angles are congruent so that means that all the angles are 104°

Graph the equation.y=5(x−1)^ 2 −5

Answers

Answer:

Step-by-step explanation:

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