Use the provided information to write the standard form equation of the parabola.

Opens up or down, and passes through (8,0), (13,-5), and (12,0)

Answers

Answer 1

Answer:

              f(x) =  -x² + 20x - 96

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors

So we get:

               f(x) = a(x - 8)(x - 12)

The parabola passes through point (13, -5) that means if x=13 then f(x)=-5

So:

      -5 = a(13 - 8)(13 - 12)  

      -5 = a(5)(1)

      -5 = 5a

       a = -1          {<0 so parabola opens down}

Therefore:

                 f(x) = -(x - 8)(x - 12)

And expanding:

                f(x) = -(x² - 12x - 8x + 96)

So the standard form equation of the parabola:

                f(x) =  -x² + 20x - 96


Related Questions

A salesman receives a weekly salary of $150. He
also receives $4 for each tire he sells. One week, he
earned $330. How many tires did he sell that week?

Answers

Answer:

150 + 4x = 330

4x = 180

x = 45

Step-by-step explanation:

to find the square root of a number do you divide by 2

Answers

Yes you divide by 2! Good luck

Point Q'Q

Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)\to(x+7,y-5)(x,y)→(x+7,y−5)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 7, comma, y, minus, 5, right parenthesis
\

Answers

Answer:

9,2

Step-by-step explanation:

i got it on khan

Answer:

7,1

Step-by-step explanation:

let's add 7 to x

0+7=7

let's subtract 5 from y

6-5=1

Q' is (7,1)

Nineteen more than a number is 33. What is the number? 33 n 19
12

14

16

52

Answers

Answer:

14

Step-by-step explanation:

33-19=14

Answer:

14; B

Step-by-step explanation:

You know that x + 19 = 33.

If you subtract 19 from both sides you get 14.

or you could think of it this way:

if you have 19 things and there is another person that has x amount, but all together you have 33 things/items. Then you have to subtract in order to figure out how many things the other person has.

And you can check your work by just adding 19 and 14 which will indeed give you 33.

Hope this helps you out!

Julie is about to ride a straight water slide. The length of the water slide itself is 20 meters. The splash pool at the end of the slide is 16 meters away from the base of the tower that leads up to the launching platform. How high is the launching platform?

Answers

Answer:

The launching platform height is 12 meters.

Step-by-step explanation:

Which ratio is equivalent to 3;9?

Answers

Answer:

sorry if its incorrect

Step-by-step explanation:

I think its 18:54

6:18
9:27
1:3
I hope this helps

What expression is equivalent to 4(4d)

Answers

Answer:16d

Step-by-step explanation:

Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.​

Answers

Answer:

1/5log2(x)+4/5log2(y)-4/5

Step-by-step explanation:

=log2{(xy^4/16)}^1/5

=1/5×log2(xy^4/16)

=1/5×{log2(xy^4)-log2(16)}

=1/5×{log2(x)+log2(y^4)-log2(2^4)}

=1/5×{log2(x)+log2(y^4)-4)} ( as loga(a^x)=x)

=1/5×log2(x)+1/5log2(y^4)-4×1/5 (distribute 1/5 through the parentheses)

=1/5×log2(x)+1/5×4log2(y)-4/5

=1/5log2(x)+4/5log2(y)-4/5

find the nth term of the sequence -5,-1,3,7​

Answers

4n - 9

Step-by-step explanation:

use formula nth term = a + (n-1)d where a is the first term and d is common difference

Answer:

                  [tex]\bold{a_n=4n-9}[/tex]

Step-by-step explanation:

-1-(-5) = 4   and   3-(-1) = 4   and  7-3 = 3

so: d=4

[tex]a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9[/tex]

In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV

Answers

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

Use the distance formula, to calculate the ratio of a side length on DEF to the corresponding side length on ABC . Show your work. Then confirm your calculations using GeoGebra tools.

Answers

Answer: 1.5

Step-by-step explanation:

DE=√(8-5)^2+(-0.5-1)^2 =√11.25≈3.35

AB=√(2-1)^2+(3-1)^2 =√5≈2.24

DE:AB ≈ 3.35 : 2.24 ≈ 1.5

ASAP HELP ME!!!!!!!

1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.

Answers

Answer:

1. Linear functions are written in the form [tex]mx+b[/tex] whereas exponential functions are written in the form [tex]b^{x}[/tex].

2. Increasing exponential growth functions will rise much quicker than increasing linear functions.

3. Example of a linear function: [tex]y=2x+1[/tex], example of an exponential function: [tex]f(x)=3^{x}[/tex]

Step-by-step explanation:

Answer:

Linear functions are written in the form  whereas exponential functions are written in the form .

Step-by-step explanation:

What is the slope of this line?

Answers

Answer:

4/5

Step-by-step explanation:

PLEASE HELP IV ASKED A MILLION TIMES!!!!! ASAP WITH BRAINLIEST!!!!!!!!!

Are the triangles APB and APR similar? Explain in terms of the following:

Corresponding angles and Parallel lines cut by a transversal

AA Criterion

Answers

Answer:

yes

Step-by-step explanation:

Please give me brainleist

Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

A

Step-by-step explanation:

Thats what im pretty sure it is, you didnt provide a picture but i know that parallel slopes are equal to each other

Answer:

A Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

A function has the function rule y = x - 7. If the input is 4, what is the output?

A. 3
B. -3
C. 11
D. -11

Answers

Answer:

The awnser is B. -3

Step-by-step explanation:

4-7=-3

x-7= y

PLS HELP ME I’VE ASKED THIS TWICE AND NOBODY HAD ANSWER THIS IS REALLY EASY TO DO

I HAVE THE ANSWER I JUST NEED TO SHOW THE WORK. PLS HELP MEEEE!!!

The answer is x = 9

Answers

Answer:

Step-by-step explanation:

All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:

20+6x+16+90=180

add stuff

6x+126=180

subtract 126 from both sides

6x=54

divide 6 from both sides

x=9

someone help :( 3333333

Answers

Answer:

5 feet

mark above answer BRILLIANT

Jeff got a 23/25 on his first math test, a 93% on his second test, and a 0.89 on his third test. Which of the following orders his scores from least to greatest?

Answers

Answer:

44554

Step-by-step explanation:

PLEASE HELP IM GIVING BRAINLIEST!

Answers

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Step-by-step explanation:

this is the step

answerrr the question please xx

Answers

Answer:

2

Step-by-step explanation:

one vertically and one horizontally

The answer is 2
Sorry if wrong

he linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it? A graph titled Value of Lucy' s Comic Book has Years since Lucy bought comic book on the x-axis, and value (dollars) on the y-axis. Points are at (1, 40), (2, 55), (3, 70), (4, 85). $10 $15 $25 $40

Answers

Answer:

C. $25

Step-by-step explanation:

#dg#nutiy

Answer:

The answer is 25.

Step-by-step explanation:

I did it on Edge.. and got it right

pleaseee help

6x7/8=
5/6x2/5=

Answers

6×7/8 =5 1/4 and 5/6x2/5= 1/3

A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds? Please help me​

Answers

Answer:

1.5 x cells

Step-by-step explanation:

3 cells every 2 second

1.5 cells per second

therefore

    after x seconds there ll be 1.5 *x number of cells

 =1.5x cells

NEED HELP THIS IS TIMED WILL MARK BRAINIEST!!!

Answers

Answer:

It’s A hope this is right good luck

What are the solutions to the following equation? x^2+8x+15=0

Answers

Answer: It can be either one.

x=−3

or

x=−5

Make a sketch of a linear relationship with slope 3 that is not a proportional relationship show how you know hay slope is 3 write an equation for the line

Answers

Answer:

A proportional relationship is something like:

y = k*x

Where k is the constant of proportionality

And a linear relationship is something like:

y = a*x + b

Is easy to see that if:

a = k, and b = 0, this would be a proportional relationship.

Then if we want to have a slope equal to 3, but this must not be a proportional relationship, we must only have b different than 0.

This could be something like:

y = 3*x + 1

The graph of this is:

A linear non - proportional relationship could be written with as a slope - intercept with a non - zero intercept value. One such relationship with a slope of 3 can be expressed thus :

y = 3x + 5

Here, the linear relationship, has a slope value of 3 and an intercept value of 5. The function cannot be proportional due to the presence of a non-zero constant

Hence, Using a graphing calculator, the sketch of the linear relationship is attached.

Learn more : https://brainly.com/question/18405415

1+1+????????????????????????

Answers

Answer: 4

Step-by-step explanation:

1+1+2=4. Jk

thx for the free points

Answer:

8432324

Step-by-step explanation:

Margie says the set of numbers, 0.1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The –1 should be the first number on the list.

Answers

Answer:

C. She treated all numbers as positive.

Step-by-step explanation:

-2 1/4 and -1 are less that 0.1

Answer:

C

Step-by-step explanation:

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