HELP WILL MARK BRAINLIEST!!!
A quadratic function for a parabola has axis of symmetry x = -2, points (-3, 2) and (0,11) and opens upward. What is the value of a? What is the vertex?​

Answers

Answer 1

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

[tex]x = - \frac{b}{2a} \\ [/tex]

So we have :

[tex] - 2 = - \frac{b}{2a} \\ [/tex]

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️


Related Questions

Please help and thanks

Answers

The mean of the data set could be misleading because there is an outlier of 77, while the other data points range from 29-39.
there is an outlier which can skew the data and mislead it

There are 5 blue marbles, 11 green marbles and
4 red marbles in a box. What percent of the
marbles are green?
a. 100
b. 80
c. 55
d. 20

Answers

Step-by-step explanation:

step by step by solutions are given

check it

hope you like the answer

C. 55% is. The answer

4(2x-9)+2 simplified

Answers

Answer: 8x-34

Step-by-step explanation:

Answer:

8x-34

Step-by-step explanation:

4(2x-9)+2 distribute

8x-36+2 combine like terms

8x-34

Thea does not remember in what order she added the ingredients but the last thing she added was 6- 1/4tsp. (6-quarter teaspoons). Select the only option(s) from the checklist below that could have been the last ingredient. * Cinnamon Baking Soda Pure Vanilla Extract Salt Cream of Tartar

Answers

Answer:

Cinnamon

Step-by-step explanation:

From the given ingredient the recipe is meant for cinnamon-sugar cookies

Given the list

(Cinnamon, Baking Soda, Pure Vanilla Extract, Salt ,Cream of Tartar)

With me here is a typical recipe for the baking of cinnamon-sugar cookies  

1 cup C&H® Golden Brown Sugar

½ cup C&H® Granulated Sugar

½ cup (1 stick) Unsalted butter, softened

1 teaspoon Pure vanilla extract

2 large eggs

2 ½ cups All-purpose flour

1 teaspoon Cream of tartar

½ teaspoon Baking soda

¼ teaspoon salt

2 tablespoons Granulated Sugar

2 teaspoons ground cinnamon

Now 6- 1/4tsp. corresponds to 6(0.25)=1.5tsp

1.5tsp  is a close approximation of  2 teaspoons Ground cinnamon in our typical recipe, hence we could predict that Thea added Cinnamon last

how do i outline the process for inscribing a square in a circle.

Answers

1) Using your compass, draw a circle and label the center O.

2) Using your straightedge, draw a diameter of the circle, labeling the endpoints A and B.

3) Construct the perpendicular bisector of the diameter.

4) Label the points where the bisector intersects the circle as C and D.

Which ordered pair would form a proportional relationship with the point graphed below?


On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)

Answers

(5, 20) will form a proportional relationship with the point.

Given

A line passes through points (0,0) , (10,40) and (-10, -40)

slope of line is ( 40/10=4 ) and equation of line is ( y=4x )

                  (40, 10)

x=40 , y=160            Not proportional

                   (-5, -10)

x=-5 ,  y=-20             Not proportional

                   ( 5, 20 )

x= 5 ,   y=20             proportional

                    (-10,-20)

x= -10   y= -40          Not proportional

(5, 20) will form a proportional relationship.

Learn more about proportional relationship in

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Answer: C

Step-by-step explanation: ....

what is the solution to x-4=17

Answers

17+4 = 21 the answer is 21

Answer:

x=21

Step-by-step explanation:

x=17+4

x=21

Write and evaluate the expression. Then, select the correct answer.

two less than the quotient of a number and four, increased by ten;

evaluate when m = 12

2 + 4m -10, when m = 11, the value is 40
4m + 2 +10, when m = 11, the value is 60
2 -StartFraction m Over 4 EndFraction 4m + 10, when m = 12, the value is 9
StartFraction m Over 4 EndFraction-2+10, when m = 12, the value is 11

Answers

Answer:

m/4  when m = 12, the value is 11

Step-by-step explanation

Answer:

D

Step-by-step explanation:

suppose you recieve $10 from your grandmother for your birthday.you spend $4 on snacks. using addition , how would you model the equation on the numberline

Answers

Answer:

well obviously the answer is  6 but how you could show this on a number line is 10 then jump/go back 4 spaces to get your answer

Step-by-step explanation:

hellppppp plzzzzzz........​

Answers

Use Socratic. download it mate it’s better than brainly

What is the value of the expression -27/d - 3 + 5d when d = 9?

Answers

Answer:

39

Step-by-step explanation:

WORK:

1. −3−3+5×9

2. −3−3+45

3. −6+45

SIMPLIFY: -6 + 45 = 39

Answer: the answer is 39

Step-by-step explanation:

The table represents a linear equation.

A two column table with 5 rows. The first column, x, has the entries, negative 10, negative 5, 10, 15. The second column, y, has the entries, 8, 7. 4, 3.
Which equation shows how (–10, 8) can be used to write the equation of this line in point-slope form?

y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)

Answers

Answer:

y – 8 = –0.2(x + 10)

Step-by-step explanation:

Edge 2020

Answer:

The Answer is option C y – 8 = –0.2(x + 10)

Step-by-step explanation:

I continusly did this question over and over & it kept saying I had got it wrong . Can somebody help ?

Answers

Answer:

8

Step-by-step explanation:

distance is never negative.

the distance is 8 (don’t count in negatives)

the average tiger can run 52 ft per second? How fast is this in miles per hour?

Answers

Answer:

35.454545 Miles per Hour

Step-by-step explanation:

30-40 mph chicken farts

What is the value of -3-(-10)-8

Answers

Answer:

-1

Step-by-step explanation:

the answer is -1 !!!!!

how do you illustrate quadratic equation in one varible?

Answers

Answer:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.

Step-by-step explanation:

Which of these does NOT represent the distance a car travels when going 55 miles per hour? d = 55t, where d represents distance in miles and t represents time in hours In 3 hours a car will travel a distance of 160 miles.

Answers

Answer:

In 3 hours a car will travel a distance of 160 miles.

Step-by-step explanation:

i know for sure is that one

For 6z=126, Chris wrote that z=756. Explain what Mike’s mistake was. Then tell the correct answer.

Answers

Step-by-step explanation:

6z=126

z = 126 ÷ 6 = 21

Chris's

z = 756

6z= 126

z = 126 × 6 = 756

correct answer = 21

the number 6 is being multiplied with z.So if the number 6 is going to the right side it will divide the number on the right side.

but for chris he multiplied the number on the right side with 6.So that is the mistake.

Write an expression in terms of n, multiply a number by 4

Answers

Answer: 4 n

Step-by-step explanation:

Rx1=r is what kind of property

Answers

Answer:

multiplicative identity property

Step-by-step explanation:

Any number times 1 give it itself.

Terri is rewriting 7 Superscript 13 in expanded form. How many factors should she use in her expression?

Answers

Answer:

7 x 13 expanded form is  y = 7 x 13  ........  7 dived by 13 in expand form is y=7 dived by 3

Step-by-step explanation:

13 factors

The number of the factors in the expanded form of the number 7¹³ is 13.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Terri is rewriting 7 Superscript 13 in expanded form. The number will be expanded as below,

7¹³ = 7 x 7x 7x 7x 7x7 x 7x 7x 7x 7 x7 x 7x 7

The number of factors will be 13.

To know more about an expression follow

https://brainly.com/question/8844911

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Find the slope from the following table.

Answers

Answer: The slope would be 5.

Step-by-step explanation: If you subtract 5 from y, and you add 1 to x, then your answer would be 5/1. 5/1 is the same thing as 5. Hope this helps! Have a great day!

Can anybody help me solve these problems? My teacher had a answer key up for us to check our answers but I have no idea where to start.

Answers

Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

Helppppppppppppppppp

Answers

Answer:

a

Why:

The radical is being multiplied by itself 4 times.

A game show contestant earns y dollars for completing a puzzle in x minutes. This situation is represented by the equation
y = -250x + 5000. How long did a contestant who earned $500 take to complete the puzzle?
Justify your answer

Answers

Answer:

it took them 18 minutes to earn $500

Step-by-step explanation:

Step 1: Flip the equation.

−250x+5000=500

Step 2: Subtract 5000 from both sides.

−250x+5000−5000=500−5000

−250x=−4500

Step 3: Divide both sides by -250.

−250x

−250

=

−4500

−250

x=18

Answer: x=18

Step-by-step explanation:

how many solutions dose this equation have

-2(t-4)=10-2t

Answers

[tex]-2(t - 4) = 10 - 2t\\-2t + 8 = 10 - 2t\\-2t + 2t = 10 - 8\\0t = 2[/tex]

No solution

Answer : No
Explination: No

evaluate log 8 12
a 0.84
b 0.67
c 1.50
d 1.19

Answers

Answer:

D

Step-by-step explanation:

the answer's 1.19?........

Answer:d

Step-by-step explanation:.

if a=5 and b=3 find
ab​

Answers

Answer:

Step-by-step explanation:

ab = 5*3 = 15

Answer:

a=5 b=3

5×3=15

Step-by-step explanation:

a=5given and b=3 given so we have done here multiply because there is no any sign indicated so in the case of there we have to do multiply

Solve the inequality 2x - 3

Need help.... plz

Answers

Answer:

x=3/2

Step-by-step explanation:

2x-3=0

2x=0+3

2x=3

x=3/2

2x - 3 = 0
2x = 0 + 3
2x = 3
X = 3/2 , 1.5

What is the image of the point (4, -6) after a rotation of 90° counterclockwise about
the origin?

Answers

(-6,-4) I thinkkkkk sorry if it’s not right

Therefore, after the rotation of [tex]90[/tex] degree in clockwise about the origin is  [tex](-6,4)[/tex].

What are the points in graph?

The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line).

Here given points are [tex](4,-6)[/tex].

So when we rotate it in [tex]90[/tex] degree so the points would be [tex](-6,4)[/tex].

Hence, after the rotation of [tex]90[/tex] degree in clockwise about the origin is  [tex](-6,4)[/tex].

To know more about the points in graph

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