Im in algebra II honors and right now we are working on parabolas and quadratic equations. Can someone help me understand how to convert from standard form to vertex form? Also how to do the opposite so convert from vertex form to standard form?

Answers

Answer 1

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function.

The standard form of a parabola is y=ax2++bx+c , where a≠0 . The vertex is the minimum or maximum point of a parabola. If a>0 , the vertex is the minimum point and the parabola opens upward. If a<0 , the vertex is the maximum point and the parabola opens downward.


Related Questions

Tia takes $50 from her bank account to pay for bus fare for the month. She does this each month for 7 months in a row. Which equation models this situation and represents the change it causes in Tia's
bank balance?
(-$50) + 7 =543
(-550) * 7 =-$350
А
B
С
$50 (-7) = $350
D
(-850) - 7 =-557

Answers

Answer:

B. - $50 * 7 = - $350

Step-by-step explanation:

Taking $50 each month causes  - $50 change to bank balance

Repeating same for 7 month:

- $50 * 7 = - $350

Correct option is B

Answer:

A

Step-by-step explanation:

Which of the following statements is true about the graph of the inequality y≤ax+b, where a≠0?

A. The graph of the inequality is a dashed line, and the shaded region is below the line.
B. The graph of the inequality is a solid line, and the shaded region is below the line.
C. The graph of the inequality is a solid line, and the shaded region is above the line.
D. The graph of the inequality is a dashed line, and the shaded region is above the line.

Answers

Answer:

The correct option is;

B. The graph of the inequality is a solid line, and the shaded region is below the line

Step-by-step explanation:

The given inequality is y ≤ ax + b, a ≠ 0

Therefore. the inequality is a straight line graph with a slope = a, and a y-intercept of b

Given that the inequality uses an equal to or lesser than sign, we have that the graph of the inequality is a solid line

Whereby the region of feasibility is the region below the value of the expression on the right of the inequality, the area below the straight line graph is the shade (feasible) region.

Answer:

b

Step-by-step explanation:

can anyone help me this is very confusing?

Answers

Answer:

answer is 2

Step-by-step explanation:

Answer:

Nick it's me Julie I have 18 accounts now

Step-by-step explanation:

On a coordinate plane, 2 triangles are shown. The first triangle has points S (3, 5), R (5, 0), and Q (1, 0). The second triangle has points S prime (negative 3, 0), R prime (negative 5, 0), and Q prime (negative 1, 0).
Which rule represents R0, 180°?

(x, y) → (–y, x)
(x, y) → (–x, –y)
(x, y) → (y, –x)
(x, y) → (y, x)

Answers

Answer:

B. (x, y) → (–x, –y).

Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Answer: B.) (x, y) → (–x, –y)

Step-by-step explanation: i hope this helps :)

what type of triangle is this

ASA
SAS
SSS
HL
AAS

HELPPP

Answers

Answer:

ASA-ANGLE,SIDE,ANGLE

SAS-SIDE, ANGLE,SIDE

SSS-SIDE,SIDE,SIDE

HL-HYPOTUNUSE,LEG

AAS-ANGLE,ANGLE,SIDE

1. What ratio defines tan(M)
2. what ratio defines tan(N)

Answers

Answer:28:53 is M

N is 28:45

Step-by-step explanation:

I’m not fully sure just trying to help

solve for a 2a - 2 = 6a + 18

Answers

Answer: a= -5
Step by step: 2a - 2 = 6a + 18
-2a -2a
-2 = 4 a + 18
-18 - 18
-20 = 4 a
-5 = a
a:5
2 times -5 is -10 minus 2 is -12
6 times -5 is -30 and plus 18 is -12

suppose BD bisects angel ABC. if angel ABD=2x+5 and angel DBC =x+23 what is angel ABC

Answers

Answer:

Bisect angle split an angle equally.

So,

ABD = DBC

2x+5 = x + 23

x = 23 - 5

x = 18

Thank you and please rate me as brainliest as it will help me to level up

Identify the equation in slope-intercept form for the line that contains points (3,−10) and (6,5).

Answers

Answer:

the answer is 5... 5- (-10) and 6-3 and divide the change by 15 and 3 and you'll get 5

Step-by-step explanation:

The linear function or equation in the slope-intercept form will be y = 5x - 25.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

The linear function is given as,

y = mx + c

Here, m is the slope while c is the y-intercept.

Slope m = (5 + 10)/(6 - 3)

m = 5

Put m = 5, (6,5)

5 = 5(6) + c

c = -25

Thus, y = 5x - 25

Hence "The linear function or equation in the slope-intercept form will be y = 5x - 25".

For more about the linear function,

brainly.com/question/21107621

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A party flyer has a surface area of 88 square inches. If the length of the paper is 11 inches, wha tis the width in inches?

Answers

Answer:

the width is 8 inches

Step-by-step explanation:

area=length x width

88=11(w)

w=8

Answer:

8

Step-by-step explanation:

A flyer is the shape of a rectangle ad its area uses the formula A = l*w. Since the area is 88 and the length is 11 inches, then 88 = 11*w. Solve for w.

88/11 = 11w/11

8=w

Determine whether the ordered pair (10, 4) is solution to the equation 3x - 5y = 10
O Yes, (10, 4) is a solution.
O No, (10, 4) is not a solution.

Answers

Given :

The ordered pair (10, 4) is solution to the equation 3x - 5y = 10.

To Find :

Which one is the solution and which is not.

Solution :

Two pairs are (10,4) and (4,10) :

Putting ( 10,4 ) in given equation, we get :

LHS = 3( 10 ) - 5( 4 ) = 30 - 20 = 10 = RHS

So, ( 10,4 ) is the solution of the equation.

Now, putting, ( 4, 10 ) in given equation, we get :

LHS = 3( 4 ) - 5( 10 ) = 12 - 50 = -38 ≠ RHS

Therefore, (10,4) is the solution and (4,10 ) is not the solution.

Hence, this is the required solution.

Answer: Yes, (10,4) is a solution

Step-by-step explanation: Took the test

Pls answer the first one to answer and get right will get Brainliest

Answers

Answer:

The answer is 7

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

add 5 to get rid of the -5 and then -4 become 1 then multiply by 10 to get rid of the divide by 10 then 10 times 1 equals 10 so then you divide by negative 5 so now you have x=10÷-5 and that equals -2

Hey Help. Give the answer to The Collatz Conjecture. If you don’t, then you’re not very nice.
Just kidding. Can you help me with 10(5)?

Answers

Answer:

10(5) = 50

Step-by-step explanation:

When you multiply 5(0), you get 0.

When you multiply 5(1), you get 5.

When you put them together, you end up with 50.

Hope this helps!

Answer:

If you are asking the answer to 10(5) this would be 10 x 5 = 50

Step-by-step explanation:

I hope I answered your question :)

Write an equation of the line passing through point P (0,0) that is perpendicular to the line y= -9x-1

Answers

1/9x - 1 is the answer.
this is because a perpendicular line has opposite reciprocal slope

original price of a microscope; $299.50
tax:4%

Answers

create two equal fractions x/299.50 = 4/100 multiply 299.50 by 4 which is 1198 and divide it by 100 which is 11.98 round it to 12 and add it to 299.50 which would make the total price 311.50. not 100% sure though

what is the answer for y=1/2x - 5? Is it 2, -4??

Answers

Answer:

-5 is y bcuz its yint and the x is 2 so its

(2,-5)

Step-by-step explanation:

mark me brainliest plz

It took Sergio 1.5 hours to read 3 chapters of a book. If he continues reading at a constant rate and the chapters are similar in length, how many hours will it take Sergio to complete the entire book if it is 18 chapters long?

Answers

Answer:

9 hours

Step-by-step explanation:

1 chapter ≈ .5 hour

18 x .5 = 9

If you answer this I will give 50points in extra
+3+3+4+3+3+2+2++2+33+3+3+2++22+2+3++4+4+5+5++7+8+8+90&&97+7+7&7&7+6++6+5+55+4++44+4+4+3+3+2+2++1+1+2+3++3+4+4++7+88+ =

Just ask I will give points

Answers

Answer:

the answer is around 872

who can help me complete my challenge i really need points i need to answer 22 more questions out of 24

Answers

Answer:

i can help :)

Step-by-step explanation:

1. Which of the following is not true about reflections?

A. Every point of the pre image is the same distance from a central line as its
corresponding point in the image.
B. It is a transformation that flips across a central line.
C.The line of symmetry must be a vertical or horizontal line.
D. Orientation is not preserved.

Answers

Answer:c

Step-by-step explanation:

Think about it this way when you look into a round puddle you see your reflection and the puddle is neither horizontal or veritical

help plz ..............​

Answers

Answer:

35

Step-by-step explanation:

9^2 is 81, and  then 81-46 is 35.

The answer is 35.

Hope this helps plz mark brainliest:D

Answer:

32?

Step-by-step explanation:

hope this helps!!!!!!!

-BB

HELP PLEASEEEE !!!!!

Answers

Answer:

when f(x) is -1, f(x) =  -3

when f(x) is 0, f(x) = 1

when f(x) is 3, f(x)= 13

so is -3, 1 and 13.

you basically replace  x with the number and then evaluate

hope is helpful!!

Instructions: Find the measure of the indicated angle to the
nearest degree

Answers

Answer:

Required indicated angle is: 47°

Step-by-step explanation:

Given triangle is a right angled triangle

The side opposite to reference angle is perpendicular so,

Hypotenuse = 48

Perpendicular = 35

The trigonometric ratio of sine will be used as it involves hypotenuse and perpendicular.

Let y be the required angle

[tex]sin\ y = \frac{perpendicular}{hypotenuse}\\sin\ y = \frac{35}{48}\\sin\ y = 0.72916\\y = sin^{-1}\ (0.72916)\\y = 46.81..[/tex]

Rounding off to nearest degree,

y = 47°

Hence,

Required indicated angle is: 47°

.The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there

Answers

Answer:

8:20

Step-by-step explanation:

If there are 20 tomatoes there will be x:20 which means we need to know how many red apples there is.

So you ask yourself this how many times did you get from 5 to 20?

4 so you multiply 4 with the number of red apples which is 2 and you will get 8

Hope this hleps!

what is done first to evaluate the expression 6 × ( 2.2 + 5.8 ) - 10 + 2 ​

Answers

Answer:

The first thing you would do is add what's in parenthesis.

If you need more to it later on then here:

Multiply 6 times 8 (because u shouldve added what was in parenthesis)

Then add 10+2

Your equation should now be 48-12

Answer is 36

Step-by-step explanation:

PEMDAS

Write equation for line 2 in a slope intercept form

Answers

Answer:

y=-3x+3

Step-by-step explanation:

hope that helps :)

What is the volume of a hemisphere with a radius of 39.4ft, rounded to the nearest tenth of a cubic foot?

Answers

Answer:

128099.5

Step-by-step explanation:

answers may vary to what the teacher wants as an answer but thats what i got according to delta math

The volume of a hemisphere with a radius of 39.4ft, rounded to the nearest tenth of a cubic foot is,

⇒ 122,325.97 cubic units

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of hemisphere = 39.4 feet

Now, We know that;

The volume of a hemisphere = (2/3)πr³ cubic units.

Hence, We get;

The volume of a hemisphere = (2/3)π (39.4)³ cubic units.

                                             = 2/3 × 3 × 61,162.98

                                             = 122,325.97 cubic units

Thus, The volume of a hemisphere with a radius of 39.4ft, rounded to the nearest tenth of a cubic foot is,

⇒ 122,325.97 cubic units

Learn more aboput the multiplication visit:

brainly.com/question/10873737

#SPJ3

Match the graph to the correct inequality.

X ≥ 5

X ≤ 5

X < 5

X > 5

Answers

Answer:

1rst one

Step-by-step explanation:

Write the following equation in slope-intercept form. - y + 6 = 0 y = - 6/5 y = + 6 y = 5/6

Answers

Answer:

y = +6

Step-by-step explanation:

-y + 6 = 0

Subtract 6 from both sides;

-y = -6

Divide both sides by -1

y = 6

There are 12 squares and 16 triangles. What is the simplest ratio of squares to triangles?

Answers

Answer:

3 to 4

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 12 and 16 is 4

Divide both terms by the GCF, 4:

12 ÷ 4 = 3

16 ÷ 4 = 4

The ratio 12 : 16 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

12 : 16 = 3 : 4

Therefore:

12 : 16 = 3 : 4

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