how to find the vertex of a parabola in standard form

Answers

Answer 1

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c


Related Questions

A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need

Answers

I’m not too sure, I tried dividing 21 by 9 which then I got 2.3333 so then I multiplied that and 12 and got basically 28

what is the volume of the prism ?

Answers

Answer:

Your answer is 150 units!

Your answer is 150 units. hope this helps :)

How many solutions does this equation have? -3s + 10 = 7s​

Answers

1

Step-by-step explanation:

Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).

Answers

Answer:

e

Step-by-step explanation:

The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same

Answers

Answer:

2.5 hours

Step-by-step explanation:

BB = 25 + (15x)2

SS = (20x)2

25 + 30x = 40x

10x = 25

x = 2.5

Answer:

5 hours

Step-by-step explanation:

15 times 5 is 75 plus 25 is 100

20 times 5 is also 100

(−4/3)⋅(−1/3)⋅1.2 answer plz

Answers

Answer:

= .533

Step-by-step explanation:

(−4/3)•(−1/3)= .44

.44•1.2=.533

Which of the following properties of equalities can’t be used when solving 3x+6=10-x

Answers

Answer:

Step-by-step explanation:

C

Answer:

c) multiplication

Step-by-step explanation:

How many arrangements can be made from the letters in the word PICCOLO

Answers

Answer:

1260

Step-by-step explanation:

This is a permutation of 7 letters with double O and double C:

7!/2!2! = 5040/4 = 1260
☆Answer :

P = 1

I = 1

C = 2

O = 2

L = 1

--------

Total (n) = 7(k) = 2(C), 2(O)

p = N! ÷ k!

p = 7! ÷ 2!2!

p = 5,040 ÷ 4

P = 1,260

Factor completely by finding the greatest common factor:

12xy^4 − 21x^2y^5z + 36xy^3

Answers

Answer:

the common factor is 3xy³

therefore by factoring we get;

3xy³(4y-7xy²z+12)

Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1

Answers

Answer:

2

Step-by-step explanation:

It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer

What is the inverse of the function f(x) =√x-2

Answers

y=√x−2⇒y2=x−2⇒x=y2+2

A shirt is 20% off the sticker price of $34. How much is the discount?

Answers

Answer:

Step-by-step explanation:

you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)

It’s going to be 20%

Which represents the solution set of the inequality 5x-9<_21?

O<_12/5
O>_12/5
O x>_6
O x<_6

Answers

Answer:

[tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]

Write down the output y in terms of x
Input=x +2 x7 Output =y

Answers

Answer:

The answer is 14x

Step-by-step explanation:

2×7=14

x×14=14x

An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?

Answers

Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.

The old box weighed 12 ounces and the new box has 20% more than the old box had.

The new box should therefore weigh 20% more than the old box which means that it weighs:

= Weight of old box x ( 1 + increase in new box)

= 12 x (1 + 20%)

= 14.4 ounces

In conclusion, the new box weighs 14.4 ounces.

Find out more at https://brainly.com/question/2051201.

Does the following relationship represent a function?
A. Yes
B. No

Answers

A. Yes answer it’s function correct.

Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.

Answers

Answer:

2.70$

Step-by-step explanation:

se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?

Answers

se necesitarían 14 días para construir la casa

This is a list of ingredients for making a cake for 8 people.
Ingredients for 8 people
200 g flour
190 ml cream
60ml milk
4 eggs
Work out the amount of each ingredient needed to make a cake for 4 people

Answers

Answer:

100g flour

95ml cream

30ml milk

2eggs

Step-by-step explanation:

You just half them all

What is the correct equation to solve for X?

Answers

It’s the second option
sin(45)=13/x


6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°

Answers

it would be c . 1.20

8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?

Answers

Answer:   -4.1 degrees celsius

Step-by-step explanation:

Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1

Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1

Factorise this expression as fully as possible 12x - 9x?​

Answers

Answer:

4x

Step-by-step explanation:

12x-9x

=4x

I hope my answer is correct

and if u like mark me as brainliest answer.

Answer:

12x - 9x

= 3x ( 4- 3)

= 3x ( 1)

= 3x

Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]

Answers

Answer:

-3,3,7 for Acellus

that's it

Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept

Answers

Answer:

y=5x+200

Step-by-step explanation:

x=number of handbags

y-intercept=200

slope=5

please give me brainly since I'm trying to level up!

solve pls brainliest

Answers

16% you divide 8 by 16 and it gives you 0.16 which is equivalent to 16%

Find the average rate of change of k(x) = 3x between x = 4 and x = 4 + h, where h 0.
Simplify your answer. Your answer may be a number or an expression in terms of h.

Answers

Answer:

Step-by-step explanation:

8

The average rate of change of the function on [0,4] is 8.

What is the scale factor from 125% to 100%?

Answers

Answer: 4:5

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

Find the value of f.

Answers

Answer:

f =18

Step-by-step explanation:

The sum of the angles of a triangles is 180

3f+6f+f = 180

10f = 180

Divide by 10

10f/10=180/10

f = 18

The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

sum the parts of the ratio, 3 + 2 + 1 = 6 parts

The sum of the 3 angles in a triangle = 180°  , then

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

1 part = 30°

The angles in the triangle are 90°, 60°, 30°

Thus the triangle is right angled

(b)

The shortest side is opposite the smallest angle, that is opposite 30°

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 × opposite = 25 ( divide both sides by 2 )

opposite = 12.5

That is shortest side is 12.5 cm

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