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

what are two fractions that make 17/20. please don't respond if you don't know the answer because I'm wasting points please and thank you.

Answers

1. 34/40
2. 51/60
Hope this helps!!!!

Answer: 9/10 and 8/10

Step-by-step explanation:

Let's hope I'm rightt

Pls help me. PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

5,11,7

Step-by-step explanation:

the answer is 5, 11, 7

Help with math I have to finish this for attendance

Answers

Answer:

she can make 40 baskets in 5 hours

Step-by-step explanation:

because there is 10 1/2 hours so 10 x 4= 40

please help me im so confused

Answers

Answer:

the answer is 9w+2/3

Step-by-step explanation:

Please mark me branliest

Answer:

9w+23

Step-by-step explanation:

bc i kno

plz mark ME  brainilist

r+(-5r)


Combine the like terms to create an equivalent expression:

Answers

Answer:

Remove parentheses.

r-5r

Simplify.and the answer will be

-4r

Anytime love

Step-by-step explanation:

SNOG pls help me with my homework

Answers

Answer: I think it would costs $34.50 for 7.5 lbs of walnut

Step-by-step explanation: I HOPE THIS HELPS :)

Help me with math, I suck at math. I do not understand this math

Answers

Opposite angles are equal so
4x+21=85
4x=106
X=26.5

Please help meeeeeeeeeeeeeeee

Answers

Answer: the answer would be 143*

Explanation:
A line is 180, and angle T is 37. Subtract 180 - 37 = 143

Please help me answer this :/

Answers

Answer:

Option C. 27m^6n^12 I'm assuming

Answer:

27m^6n^12

Step-by-step explanation:

:)

Answer these questions about killer whales:


What do killer whales look like? Be very specific, colors, size, length, spots, stripes, camouflage...etc.


What are some facts about killer whales? List at least 5.




I will give brainliest, thanks, friend request, and 5 stars to the best answer.

Answers

Answer:

Adult male killer whales are larger overall than their female counterpart including features such as pectoral flippers, dorsal fins, tail flukes, and girth. The largest recorded male killer whale was 9.8 m (32 ft.) in length and weighed 10,000 kg (22,000 lbs.) The largest recorded female was 8.5 m (28 ft.) and weighed 7,500 kg (16,500 lbs.). Data from Icelandic killer whales (North Atlantic type 1) indicate that an average-size male is about 5.8 to 6.7 m (19 to 22 ft.) long, while females averaged 4.9 to 5.8 m (16 to 19 ft.) long. Killer whale sizes vary significantly between different ecotypes.

Male Antarctic type A killer whales can reach lengths of 9.2 m (30 ft.) making them the largest known killer whales. The smallest killer whale ecotype is the Antarctic type C killer whales in which adult females average 5.2 m (17 ft.) and adult males average 5.6 m (18 ft.) in length and can reach a maximum of 6.1 m (20 ft.). At SeaWorld, average size for adult males is 6.6 m (21.7 ft.) Two of the largest adult male killer whales at SeaWorld weigh 4,340 kg (9,570 lbs.) and 5,380 kg (11,860 lbs.).

At SeaWorld, average size for females is 5.5 m (18 ft.) and 2,442 kg. (5,384 lbs.) SeaWorld's adult female whales range in weight from 2,313 kg (5,100 lbs.) to 3,719 kg (8,200 lbs.). The general body shape of a killer whale is roughly cylindrical but tapering at both ends. This characteristic fusiform shape is quite energy efficient for swimming.  Killer whales are black and white, with a gray patch called a "saddle" or a "cape" on the back, just behind the dorsal fin. A killer whale's forelimbs are adapted for swimming. A killer whales uses its rounded, paddlelike pectoral flippers to steer and, with the help of the flukes, to stop. A killer whale's pectoral flipper contains 5 digits much like the fingers on a human hand. Each lobe of the two-lobed tail is called a fluke. Flukes are flat pads of tough, dense, fibrous connective tissue, completely without bone or cartilage. Like the flukes, the dorsal fin is made of dense, fibrous connective tissue, without bones or cartilage. A killer whale has an indistinct rostrum (snout-like projection).

A single blowhole on top of the head is covered by a muscular flap. A killer whale breathes through its blowhole. The blowhole is relaxed in a closed position, and the flap provides a water-tight seal. To open its blowhole, a killer whale contracts the muscular flap.

A killer whale's eyes are on each side of its head, just behind and above the corner of its mouth, and in front of its white eyespot.

A killer whale's large teeth are conical and interlocking. Toothed whales have only one set of teeth; they are not replaced once lost. The number of teeth varies among individuals. There are usually 10 to 14 teeth on each side of each jaw (40 to 56 teeth total). A killer whale's blubber layer lies beneath the dermis and measures from 7.6 to 10 cm (3 to 4 in.) thick. Blubber is a layer of fat reinforced by collagen and elastic fibers. In general, blubber has a number of important functions: A killer whale's dermis (skin) is smooth. The outer layer continually and rapidly renews itself, and the old skin sloughs off. The increased skin cell turnover increases swimming efficiency by creating a smooth body surface which reduces drag.

Facts:

1) The name killer whale derives from their original name ‘whale killers’ given to them by sailors who saw them hunting whales. Over time, the name eventually switched around.  The name ‘orca‘ comes from their Latin species name Orcinus orca, where orcinus translates to mean ‘Kingdom of the dead’.

2.  Despite their name, killer whales are actually a dolphin – the largest species of oceanic dolphin!

3.Whilst they can and do eat prey such as finfish and marine mammals, New Zealand orca have become specialised at hunting sharks and rays. They can often be seen up around rocky reefs and in the shallows of beaches while they are hunting.

4.The average life span of an orca is not too dissimilar to a human, at 50-80 years for females and slightly less for males at 29-60 years.

5.Orca can be seen in every ocean on the earth. They are one of the most successful marine mammals in terms of range.

PLEASE HELP ASAp

Sophia has a shelf that is 51 over 2 inches wide. How many notebooks can Sophia arrange on the shelf if each notebook is 3 over 2 inches thick?

38, because the number of notebooks is 51 over 2 ⋅ 3 over 2
153, because the number of notebooks is 51 over 2 ÷ 3 over 2
102, because the number of notebooks is 51 over 2 ⋅ 3 over 2
17, because the number of notebooks is 51 over 2 ÷ 3 over 2

Answers

That would be 17.
Why?
The number of notebooks is 51/2 divided by 3/2.
(51/2)/ (3/2)= 51/2 * 2/3 = 102/6 =1717
The answer to this is 17

PLzz help I don'y not get it

Answers

Answer:

jk

Step-by-step explanation:

I really need help on this one, I don't understand. Please help if you can

Saul makes green paint by mixing blue paint and yellow paint.
For every 4 gallons of green paint, he uses 3 gallons of blue paint.

Drag the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green as Saul's.

Answers

Anwser:

The ratio of Saul's exact color is 3:1, so to make 16 gallons of paint he would mix 12 gallons of blue with 4 gallons of yellow. Hope this helps!

25 points for whoever answers all of these
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Use the interactive graphing tool to plot the ordered pairs.

(-2,0), (-1, -3), (0, -4), (1, -3), (2, 0)

Using your graph, how many points lie on the x-axis?
0
1
2
3


this is for a certain person to answer

Answers

Answer:

sorry if im not this certain person but i would say( -1,-3)

Step-by-step explanation:

Multiply four and eight tenths multiplied by three.

thirteen and one tenth
thirteen and four tenths
fourteen and two tenths
fourteen and four tenths

Answers

Fourteen and four tenths

Step-by-step explanation to answer:

(4 + 2/5)3

(4x3) + (2/5x3)

12 + 1 1/5

13 and 1/5 or 2/10

HELP PLS WHOEVER GETS IT RIGHT GETS BRAINLIEST AND A THANK U THIS IS URGENT


Lola ran 6.79 miles to prepare for her track meet today. If she runs this distance every day this week, how many miles will Lola run? (Remember, there are 7 days in one week).

Answers

Answer:

47.53 miles

Step-by-step explanation:

6.79×7= 47.53

Answer:

47.53 miles total for the week.

Step-by-step explanation:

so if she ran 6.79 for each 7 days that would be:

6.79 * 7 = 47.53

or

6.79 + 6.79 + 6.79 + 6.79 + 6.79 + 6.79 + 6.79 =  47.53

hope this helps!!

have a great rest of your day! :D

Help Please I will Give Brainliest if Correct!!

Answers

Answer:

w exponent 6

_____________________

              9

Step-by-step explanation:

I hope this helps I couldn't write it correctly sorry

please help me with this

Answers

Answer:

D -55

Step-by-step explanation:

-55, since we put -1 and -3 instead of x and y. We multiply the result in the brackets by five. This gives us five

Answer:

The answer is C: -45

Step-by-step explanation:

Select ALL of the choices that are equal to (-2) - (-5)
6 points
(-2) + (-5)
(-2) + 5
The difference between -2 and -5.
The difference between -5 and -2.
3
-3

Answers

(-2)+5
The difference between -2 and -5
3

Rewrite the expression in the form 5^n
(5^3)^2=?

Answers

This problem is all about bases and exponents.  Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:

That's the simplification as long as you are "allowed" to leave the exponent as a negative number.

The answer is 5^6 because if we have an exponent to the power of exponent we have to multiply the powers..

Hope it is useful :)

PLEASE HELP ME WITH MY MATH

Answers

Answer:

Step-by-step explanation:

1)

y is 3 times more than x.

X=0 Y=0  3x0=0

X=1  Y=3

X=2 Y=6

X=3 Y=9

X=4 Y=12

Then just plot it as co-ordinates (x,y)

2)

Y is 1/4 of x. Divide by 4

X=0 Y=0

X=4 Y=1

X=8 Y=2

X=12 Y=3

X=16 Y=4

Then just plot it as co-ordinates (x,y)

4.Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
A.$10.00
B.$17.00
C.$42.50
D.$85.00
Question 4^
5. Han checks with another bank and their interest rate is 4%. Based on your answer in question 4, how much longer will he have to leave his money in the account to earn the same amount of interest as the first bank?
A.6 months
B.1 year
C.2 years
D.2.5 years

Answers

Answer:

C and A

I hope this helps!! :)

Answer:

in the first question is

?/850 = 5/100

850×5=4,250

4,250 divided by 100= 42.50= 42.5

and the second is the A

Does anyone know the answer to this?

Answers

Answer:

Rectangle

Step-by-step explanation:

(hope this helps!!)

Your answer would be rectangle:)

I- GUESS WHO NEEDS HELP AGAIN...
I don't wanna fail math aaaa

Answers

Answer:

C

Step-by-step explanation:

Follow Pythagorean Theorem. a^2 + b^2 = c^2

We know b and c:

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = √25

a = 5

The answer is C because we know side a = 5

Give this branliest

Help with math I need, do not understand I do (yoda speech) lol.

Answers

It’s the purple one!
The correct answer is A.
This triangle is considered an acute triangle because all the angles are under 90 °

y = -3x + 3

HELP I WILL GIVE BRAINLIEST TO BEST ANSWER 40 POINTS

Answers

Answer:

x=anything

Step-by-step explanation:

Answer:

(0,3)(1,0)

Step-by-step explanation:

I need help with this question that's attached

Answers

The answer is a certain combination of numbers or letters and spaces and maybe symbols that I will no tell
Explanation: common sense dude XD

What is the equation of a direct variation that goes through the points (-6, 2) and (9, -3)?

y = -1/3 x
y = -3 x
3 - y = x
y = x - 3

Answers

The answer is A


-3-2=-5 -5 divided by 5= -1
9+6=15 15 divided by 5=3

Answer:

y = -1/3x

Step-by-step explanation:

Sarah worked 8 more hours than Paida (algebraic expression) ___
Kumar has twice the number of goals as Jacob ___
Addison is 3 years younger than Nathan ___

Answers

x+8
2x
x-3
8 more hours
twice the number
3 years younger

Please Help! How to simplify the exponential Expression of (2a^-4 b)^3 (3a^2 b^-2)^2
Thanks!
<3

Answers

The answer is 72/a^8b
72 over a^8b
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