Consider the following quadratic equation. f(x) = 9x^2
Part A: Write a function, g(x), the shifts f(x) down by 3 units.
Part B: Write a function, h(x), that vertically stretches f(x) by 6 units.
Part C: Write a function, m(x), that reflects f(x) about the x-axis.

Answers

Answer 1

Answer:

[tex]g(x) = 9x^{2} -3[/tex][tex]h(x) = 54x^{2}[/tex][tex]m(x) = -9x^{2}[/tex]

Explanation:

[tex]f(x) = a(x-h)^{2} + k[/tex]

a:

Determines direction.Negative x reflects over x-axis.a < 1 --> vertically shrunk.a > 1 --> vertically streched.

h:

Determines left and right.Sign of h flips...(x + h) goes left.(x - h) goes right.

k:

Determines up and down.

Related Questions

Of the 350 solitaire games that Jay played, he won 154 times. What percent of the games did Jay win?

Answers

Step-by-step explanation:
To find the answer we first have to find the value of each percent, to do this we divide 100 by 350, that gets us approximately 0.286. We know that he won 154 of them we then multiply 154 by 0.286 to get the percentage of games he won and we get 44.044.

Answer:

44%

Step-by-step explanation:

154 ÷ 350 x 100 is 44%

hope this helps

Celina built a model of a triangular pyramid. The model's height is shown in the diagram.



If the volume of Celina's model is 96.37 cubic centimeters, what is the area of the triangular base in square centimeters?

Round answer to the nearest hundredth.

12.85 square centimeters

4.28 square centimeters

38.55 square centimeters

240.925 square centimeters

Answers

The answer is most likely 12.85

Rectangle A has a length of 6 and width of 4. Rectangle A prime has a length of 9 and width of 6.
Find the scale factor of the dilation shown.
1/2
3/2
2
2/3

Answers

Answer:

2

Step-by-step explanation:

divided by 2/3 then add the 9 and the 6 and subtract the total

Answer:

3/2

Step-by-step explanation:

correct me if im wrong please

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes?

Answers

Answer:

1372 inches

Step-by-step explanation:

980 inches divided by 5 to get 1 minute

= 196

196 multiplied by 7 to get 7 minutes

=1372

Identify the property: 8(a + 7b - 5) = 8a + 56b - 40

Commutative Property of Addition
Associative Property of Addition
Additive Identity
Multiplicative Identity
Distributive Property

Answers

Answer: It would be Distributive

Step-by-step explanation:

The left side of the equation is distributive property

find the x-intercepts of the function g(x)=8x^{2} −10x−3

Answers

Answer: [tex][-\frac{1}{4}, \frac{3}{2}][/tex]

Step-by-step explanation:

Factor:

[tex]g(x) = 8x^{2} -10x-3[/tex][tex]g(x) = x^{2} -10x-24[/tex] ---> multiply constant (3) by coefficient of first term[tex]g(x) = (x+\frac{2}{8})(x-\frac{12}{8} )[/tex] ---> factor (multiplies to 24 and adds to -10. Divide factors by 8 since you multiplied by 8 in previous step)[tex]g(x) = (x+\frac{1}{4})(x-\frac{3}{2})[/tex] ---> simplify[tex]g(x) = (4x+1)(2x-3)[/tex] ---> move denominator of fraction to be coefficient of x

Solve:

[tex]0 = (4x+1)(2x-3)[/tex] ---> set equation equal to 0.[tex]0 = 4x + 1[/tex] ---> make each parentheses equal to 0.[tex]-1 = 4x[/tex] [tex]-\frac{1}{4} = x[/tex] ---> x intercept[tex]0 = 2x - 3[/tex] [tex]3 = 2x[/tex] [tex]\frac{3}{2} = x[/tex] ----> x intercept

PLEASE HELP ME

(and yes there is two 1 3/4 it's not a typo)


Evelyn is a member of her school’s track team. She competes in the mile run. Last week in practice Evelyn ran 3 1/4, 2 1/8, 2 7/8, 1 3/4, and 1 3/4miles.


A. Estimate how many total miles she ran in practice last week.


B. Exactly how many miles did Evelyn run last week in practice?

Answers

Answer:

A. You have to complete your own estimation however, by looking at it, mine is about 11 miles.

B. 11.75 or 11 3/4 miles

We can estimate that Evelyn ran about 11.5 miles in practice last week and Evelyn ran exactly [tex]11\frac{3}{4}[/tex] miles in practice last week.

What is Fraction?

A fraction represents a part of a whole.

To estimate how many total miles Evelyn ran in practice last week, we can round each of the distances to the nearest half-mile and add them up:

[tex]3\frac{1}{4}[/tex] = 3.5, [tex]2\frac{1}{8}[/tex] = 2, [tex]2\frac{7}{8}[/tex] =3, [tex]1\frac{3}{4}[/tex] =1.5 and [tex]1\frac{3}{4}[/tex]=1.5

Adding these rounded distances, we get:

3.5 + 2 + 3 + 1.5 + 1.5 = 11.5

Therefore, we can estimate that Evelyn ran about 11.5 miles in practice last week.

The exact total number of miles Evelyn ran last week in practice, we need to add up the distances exactly.

[tex]3\frac{1}{4}[/tex] =13/4,

[tex]2\frac{1}{8}[/tex] = 17/8,

[tex]2\frac{7}{8}[/tex] =23/8,

[tex]1\frac{3}{4}[/tex] =7/4 and

[tex]1\frac{3}{4}[/tex]=7/4

Adding the fractions, we get:

[tex]\frac{13}{4} +\frac{17}{8}+\frac{23}{8}+\frac{14}{8}+\frac{14}{8}[/tex]

LCM of denominators is 8

[tex]\frac{26}{8} +\frac{17}{8}+\frac{23}{8}+\frac{14}{8}+\frac{14}{8}[/tex]

= [tex]\frac{94}{8}[/tex]

Evelyn ran exactly [tex]11\frac{3}{4}[/tex] miles in practice last week.

Hence, we can estimate that Evelyn ran about 11.5 miles in practice last week and Evelyn ran exactly [tex]11\frac{3}{4}[/tex] miles in practice last week.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

I don't get this one either

Answers

Answer:

False

True

False

Step-by-step explanation:

You can find the median by finding the largest number and dividing it by two. In this situation, red has the smallest median.


False, true, and false

Nate surveyed 4 teenagers to find out approximately how many hours, per day, they watch television, and how tall they are.

Candice said she doesn't watch television, and that she is 65 in. tall.
Pancho said he watches 2 h of television per day, and that he is 6 ft tall.
Isabella said she is 50 in. tall, and watches 1 h of television in the morning and 1 h of television at night.
Jared said he is 70 in. tall, and that he watches 3 h of television each day.

Use this information to complete the data table.

Answers

Answer:

Candice= 0 hours a day, 65 inches tall.

Pancho= 2 hours a day, 74 inches tall.

Isabella= 1 hour a day, 50 inches tall.

Jared= 3 hours a day, 70 inches tall.

Answer:

Candice - 0 - 65

Pancho - 2 - 72

Isabella - 2 - 50

Jared - 3 - 70

There are three quarters, five dimes, and twelve pennies in a bag. When a coin is drawn from the bag, it is replaced. If two coins are drawn at random, determine each probability.
7. P(a quarter and then a penny) 8. P(a nickel and then a dime)
9. P(two pennies) 10. P(a dime and then a quarter)
Please don't just answer for points I actually need help

Answers

Answer:

9

Step-by-step explanation:

there are 4 more pennies with adding the dimes and quarters together so there is most likely a high probability for 2 pennies to be pulled.

please help me on these 4 questions btw thoes faces on the top are my classmates

Answers

1. C+6

3. 50/f

5. h - 12

7. z/3 - 6

Answer:

1) c + 6

3) 50 ÷ f

5) h - 12

7) z ÷ 3 - 6

Step-by-step explanati1on:

hope this helps and have a wonderful day :)

PLEASE ANSWER: Which expression is equivalent to -20-(-4)

A. 20+4
B. 20-4
C. -20-4
D.-20+4

Answers

Answer: C

Step-by-step explanation:

It’s B, cuz the “-“ before (-4) changes the minus to a plus.

Two triangles are similar. The corresponding sides have a ratio of 2:5. If the smaller triangle has a
side length of 14 centimeters, what is the measurement of the corresponding side of the larger triangle?

Answers

Answer: 35 Centimeters
Explanation: divide 5 by 2 and that equals 2.5 which is a more efficient or easy scale factor to use in this case, then multiply 14 by 2.5 and that equals 35.

Answer:

35 centimeters (the person above me i believe is correct:)

Step-by-step explanation:

you divide 5/2 and that equals 2.5 then multiply 14*2.5 and that equals 35.

Please help I need help with my homework

Answers

Answer:

The measure of the first angle is 32° and the measure of the second angle is 49°. (h = 32° & c = 49°)

Step-by-step explanation:

For the first triangle, we know that when you add up all the angles in a triangle, you'll end up with 180°. Keeping that in mind, all you have to do to find the third angle is add up the two we already know and subtract it from 180°.

1. 58° + 90° = 148°  -->  I know that the second angle is 90° because it's a right

180° - 148° = 32°           triangle.

2. 82° + 49° = 131°

180° - 131° = 49°

Hope this helps,

Hedgehog68

Angle H is 32, Angle C is 49

A triangle equals to 180 degrees in total, the first triangle gave me 58 and 90 as starting angles so I subtracted those 2 from 180 and got 32
The second triangle gave me 82 and 49 so I subtracted those 2 from 180 and got 49

Parallelogram P was dilated to form parallelogram p'

What is the value of x?

Answers

Answer:

x=1

Step-by-step explanation:

Please help!! write a detailed explanation of how you how got your answer!! Thank You!!!

Answers

Not sure if you still need the answer

But it's 120+20[tex]\pi[/tex]

Because the 3 boxes in the middle are cubes, all three are 10x10, and perimeter of a cube is each side added up.

All together it would be 40+40+40 which equals 120.

Then for the semi-circles, the perimeter formula is 1/2([tex]\pi[/tex]d) d standing for diameter. Since we can tell that the diameter takes up 2 full cubes, we know that the diameter is 20. However since it's a semi-circle we cut that in half. So 10[tex]\pi[/tex]

10[tex]\pi[/tex]+10[tex]\pi[/tex]=20[tex]\pi[/tex]

So then your final answer is 120+ 20[tex]\pi[/tex]

I hope my answer was clear enough!

Solve : 20 = 8 + x/3
Solve : 5/8y + 7 = 3/4y - 3

Answers

Answer:

20 = 8 + 36/3

Step-by-step explanation:

That's the answer for the first one

What is -4\sqrt{12}+\sqrt{75} in simplest radical form?

Pls help I really need this :/

Answers

Step-by-step explanation:

-4√12 + √75

= -4√4√3 + √25√3

= -4(2)√3 + (5)√3

= 5√3 - 8√3

= -3√3.

Here is the answer along with steps on how to solve this problem :)

On a day in the month of February, the temperature in Barrow, Alaska, is -21. At the same time, the temperature in Northway, Alaska is -13.
Write an inequality to compare -21 and -13. Which temperature is warmer

Answers

Answer:

In Barrow it's colder than it is in Northway.

Step-by-step explanation:

-21 is less than < -13

2. Solve 3 + 4x > –5 for x.
a. x -1.75
c. x > -2

Answers

Answer:

x>-2

Step-by-step explanation:

Simplify both sides of the inequality.

4x+3>−5

Subtract 3 from both sides.

4x+3−3>−5−3

4x>−8

Divide both sides by 4.

4x/4>-8/4

X>-2 is the answer bucko Lols

What is the solution for the system of equations? = 2 – 3
4 – 3 = 31
A. (−11, −25) B. (−11, −19) C. (11, 19) D. (14, 25)

Answers

Answer:

A

Step-by-step explanation:

I’m pretty sure the answer is A. I hope I’m right, if I’m not then I’m sorry for wasting your time. Hope you have a nice day ;)

Nelson is planning out his monthly budget and estimates that he spends $250 on food each month. When he got his bank statement, he discovered that his actual food expense for the month was $315. Calculate his percent error. Round to the nearest whole percent.

Answers

Answer:

21

Step-by-step explanation:

250 / 315 = 0.79

0.79 x 100 = 79

100 - 79 = 21

It it 21% error goodluck with future maths

Determine the lateral and total surface area of the pyramid.

Answers

Answer: lateral=20cm

total=1312

Step-by-step explanation:

20 cm lateral
Total 1312

Please help! Best answer will get brainliest!

Answers

Answer: (5,3)

Step-by-step explanation: just go across

It’s (5,-3) I’m pretty sure

Write the product using exponents. very easy pls give me correct answer <3:(

Answers

Answer:

5.) 1/5^2x^3

6.) 10^2-n^3

7.) -5^4y^5

Step-by-step explanation:

Save more time. Make more money. It's that simple.
Let's figure out the perfect pole radius for ANY lawn you
might have to mow.
Use variables to write an expression for the perfect pole
radius (R) given the width of the lawnmower (W) and
the length of the rope (L).
R=

Answers

Answer:

This is the first of several posts where I'll use the activities Desmos ... for the pole radius (R) that will make the lawnmower cut the lawn in a perfect spiral. Given the width of the pool in tiles (n), write an expression for the  In each case, students are more likely to see algebra as power than punishment

Step-by-step explanation:

i understood everything but the last part

Answers

Answer:

22 percent? I honestly am confused aswell

27% I think but I really don’t know........

Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the nearest hundredth, and as a percent to the nearest whole number.

Answers

Answer:

2/6

Step-by-step explanation:

There ony 2 yellow and 6 picecs in total

The answer is 2/6 but it can be converted to 1/3 in the simplest form,
0.33 to the nearest hundredth, and 33% to the nearest whole number.

Which of the relationships below represents a function with the same rate of change as the function y=x-4?

Answers

Answer:

D

Step-by-step explanation:

The slope for the first one is 1 since x stands alone. You have to find the slope for each, and find the one that matches, so divide the change in y over change in x, or for the graphs find where the points are, find the difference in the y and x values and do change in y over change in x. For A, the slope would be -1, so it wouldn’t work. For B, the slope would be -5/4, so it wouldn’t match. For C, the slope would be -4/2, so it wouldn’t be a match. D the slope would be 1 so it is the only one that matches.

Rosa and her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much is the total bill, including the tip?

Answers

The answer is $54.96 the 20% tip is $9.16 :)

Answer:

$54.96

Step-by-step explanation:

20% of $45.80 is 9.16 so, 45.80+9.16=54.96

Hope this helps! :)

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