Mathematics High School

A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is given by the quadratic function y = -16x^2+32x+3.
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=x^2.

Answers

Answer 1

Answer:

The given equation has a y-intercept at (0, 3).

y = -16x^2 + 32x + 3 = -16(x^2 - 2x) + 3 = -16(x - 1)^2 + 19. This means the vertex is at (1, 19).

To transform the y = x^2 graph:

First we invert the graph with respect to the x-axis, maxing it a downward parabola y = -x^2.

Next, we move its vertex from the origin (0, 0) to (1, 19), making the equation y = -(x - 1)^2 + 19.

Third, we "expand" the opening of the parabola such that it passes through the y-intercept of (0, 3). The right-side of the parabola should also be expanded similarly, since it is symmetric.

Related Questions

The following data values represent a population. What is the variance of the population? u = 8. Use the information in the table to help you. X 6 10 14 2 (x-2)2 4 4 36 36 O A. 20 o B. 10 O C. 16 O D. 8​

Answers

Answer: 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just took the quiz

Thomas and Sydney have a combined age of 57. Thomas is 13 years older than triple Sydney’s age. How old is Thomas? You must create a system of equations and use substitution to solve.

Answers

57-13=44. If Sydney is 11, then Thomas is 46. 11x3=33, and 33+13=46. To check our answer, we will add 46+11. 46+11=57.

Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations. (help....)

Answers

Answer: 48583 Thanks for the points

Step-by-step explanation:

Grades 1 through 6 at Eastwood Elementary School raised $5,492 towards repairs for the gymnasium floor.
How much did each grade raise if they each collected about the same amount of money? Choose the best estimate. this was not answered correctly the first time...
Answer choices:
A. About $1,100
B. About $900
C. About $550
D. About $500

Answers

Answer:

b

Step-by-step explanation:

If you divide 5,492 by 6 on a calculator you get 915.333333333 . So if you estimated it each grade raised about $900

What is the slope of the line with the points (3,5) and (6,4)

Answers

Answer:

The slope is -1/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4-5)/(6-3)

-1/3

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.
Which terms should Paul write in squares M1 and M2?

a) 5x and −4x
b) –5x and 4x
c) –2x and 10x
d) 2x and −10x

Answers

Answer:

5x and -4x

Step-by-step explanation:

Because Paul is looking for M1 and M2 in order to get a total that is +x and a product that is equal to -20x^2, we can see that 5x and -4x help Paul get the products he wants.

Answer:

A; 5x and −4x

Step-by-step explanation:

Two angles of a triangle measure 120 and 40°.
What is the measure of the third angle of the triangle?
A. 38°
B. 48°
C. 128°
D. 308°
PLS HELP

Answers

The answer is the letter C

How many people can ride in 1 car?

What is the constant of proportionality for the data in the table?

Explain how you can find the number of people that can ride in a rollercoaster with 10 cars.

Write an equation to represent the number of people, y, that can ride the rollercoaster with x cars.

Answers

Answer:

6 people

Step-by-step explanation:

take the 18 and divide it by three because this will help you solve for one car so 18 divided by three is six

When the quotient property of exponents is applied, which operation is used to simplify the exponents? (1 point)
A. Adding
B. Subtracting
C. Multiplying
D. Dividing

Answers

C-Multiplying
Because whatever the number is for the exponent you’re going to multiply the whole number by that much :)
Hope this helped

Does the following represent a linear or exponential function? x 1 2 3 4 y 3 9 15 21

Answers

Answer:

linear

Step-by-step explanation:

I will pick the brainiest answer! Thanks! :)

Answers

I hope this helps you. Search up triangle maker and it should be the third link and then take a picture of it and that is your answer for the first 3.

3x + 4 = 8x – 11 does anyone know how to do this ​

Answers

Answer:

x = 3

Step-by-step explanation:

Subtract 8x from both sides.

3x+4−8x=8x−11−8x

−5x+4=−11

Subtract 4 from both sides.

−5x+4−4=−11−4

−5x=−15

Divide both sides by -5.

−5x

−5

=

−15

−5

x=3

add 11 to both sides
3x+15= 8x
then you subtract 3x from both sides
15=5x
divide both sides by 5
x=3

Is √16/49 rational ?

Answers

Answer:

no it is not rational

Answer:

It is rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

4(3+2x) + 2 = 46 , solve for x I need help I'm a bit confused

Answers

Answer:

x=4

Step-by-step explanation:

4(3+2x)+2=46

12+8x+2=46

12+8x=44

8x=32

x=4

Answer:

4

Step-by-step explanation:

You need to start with the 2x inside the parenthesis

If you put 4 in place of x you get 8

8+3=11

then because there isnt any sign between 4 and the parenthesis you multiply

4x11=44

then its easy

44+2=46

(1.8 x 10°) (6.7 x 1012)

Answers

Answer:

did you type that correctly?

Step-by-step explanation:

i-solve the fraction 315+79 (show all steps)
​

Answers

Answer:

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values:

The fraction number = 315/79

step 2 Write it as a decimal

315/79 = 3.9873

3.9873 is the decimal representation for 315/79

For Percentage Conversion :

step 1 To represent 3.9873 in percentage, write 3.9873 as a fraction

Fraction = 3.9873/1

step 2 multiply 100 to both numerator & denominator

(3.9873 x 100)/(1 x 100) = 398.73/100

398.73% is the percentage representation for 315/79

WILL MARK BRAINLIEST PLEASE HELP

Answers

Slope is 6 you can fine this by using the slope formula of rise over run or you can just in this equation divide the y by the x coordinate to find the slope of 6

75+(-57) will the following sum be positive ,negative or zero?Explain your thinking​

Answers

Answer:

The sum will be positive because when using KCF ( keep change flip) the problem becomes 75-57 therefore the answer will be positive 18. hope this helps

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

Answers

Answer:

Omg the picture is so funny but the first one describes the translation

(x,y)> (x + 5, y - 3

Step-by-step explanation:

I hope this helped!

Answer:

Its C. (x, y) → (x – 3, y + 5)

Step-by-step explanation:

I did the test

i need help with problem 16

Answers

All you need to do is divide. So the answer will be 2 cookies per minute

Answer:

she decorated two cookies per minute

Step-by-step explanation:

72 cookies divided by 36 minutes

Line L passes through the points (-1, 2) and (3, 2). Which of the following lines is perpendicular to line L?​

Answers

Answer:

The Answer Is

L

Take A Big Fat L

LOL

Step-by-step explanation:

Nick cut a circular cookie into 5 equal slices. What is the angle measure of each slice.

Answers

Answer:

parallel?

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

360/5

Plz mark brainliest

What is the permittee of the shaded figure ?? Please help

Answers

Answer: 96

Step-by-step explanation:

12x6= 96

times 12 which is the y axis and 6 which is the x axis. which would give you the shaded figure.

Which of the following does not represent a function?
PLEASE HELPP ME
15 POINTS OR BRAINLIEST ?!??

Answers

Answer:

G is not a function

Step-by-step explanation:

Answer:

H.

Step-by-step explanation:

something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.

that's why parabolas aren't functions (if you know what those are).

hopefully that helps and isn't too confusing! if you need anything else, let me know! :)

Write the equation in slope intercept form given the
point and the slope.
m=-5 & (-4, 7)

Answers

Answer:

y=-5x-13

Step-by-step explanation:

y-7=-5(x+4)

y=-5x-13

Estimate:
37 is 60% of what number?
22
B
6
60
2,220

Answers

Answer:

60

Step-by-step explanation:

Can somebody help with questions 8 plzz‼️

Answers

Answer:

53,760,970 households/year

Step-by-step explanation:

First step is to do 65,929,420 - 12,168,450 = 53,760,970

Now divide 53,760,970 by 20 since the difference in 1997 and 1977 is 20

53,760,970/20 = 2,688,048.5

So each year 2,688,048.5 people got cable.

But it would be 53,760,970/year because then you could divide it by how ever many years to see how many people got cable.

Hope this helps!!

these two polygons are similar​

Answers

Answer:

y=5

Step-by-step explanation:

you can see yellow on the top left it has a 6 and on the red it has a 2.So 6/3=2and you can do that with to bottom 15/3=5

7. The measure of two angles of a quadrilateral are
120 & 40° and the other two angles are equal, the measure of each of equal angles are
100
200°
50°
105​

Answers

Answer:

200

Step-by-step explanation:

total angle degree of quadrilateral is 360° so 360 - (120+60) = 200

I hope you understand it and sorry if it's wrong

Sana deals in designer handbags. She bought 5 handbags at a price of 18,000 each and sold them all at a profit
of 32 percent
How much did Sana charge for the 5 handbags?

Answers

Answer:

$118,800

Step-by-step explanation:

5 handbags for 18000 each and sold at 32% profit

1 handbag=18000*1.32=$23,760

23,760*5=$118,800

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