F(x) = x^2, g(x) = 2/3 x^2 comparison

Answers

Answer 1

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 :[tex]f(x)=x^2[/tex]

Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]

So, [tex]a= \frac{2}{3}=0.67[/tex]

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)


Related Questions

When you give an exact answer for the volume of a cylinder, you will always have ____ in the answer.

Answers

Answer:

Step-by-step explanation:

height

Find the approximate circumference of a circle with a diameter of 80 yards.
251 yards
502 yards
126 yards
25 yards

Answers

________________________________

Solution,

Diameter (d)=80 yards

Radius(r)=80/2=40 yards

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*3.14*40

=251.2 yards.

The right answer is 251 yards.

Hope it helps...

Good luck on your assignment

_____________________________

If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?

Answers

(2x - 3) - (x^2 + 3)

2x - 3 - x^2 + 3 Remove parentheses...

2x - 3 - x^2 - 3 Collect like terms and solve...

2x - 6 - x^2 Re-order terms...


ANSWER: -x^2 + 2x - 6



Answer:

the answer is  -x^2 + 2x - 6

Step-by-step explanation:

Helpppppp meeee plzzzz

Answers

Answer:

its rather B or C

Step-by-step explanation:

c(c)=y

so the slope is Y=2x+2

the reason why its rather B or C is because of the axis

i   dont know what belongs where

pls help this due before 11:59​

Answers

Answer:

4th option is the correct answer

35 inches

Step-by-step Explanation:

[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]

In the diagram, measure angle 3 = 120° and measure angle 12 = 80°. Which
angle measures are correct? Check all that apply
measure angle 1 = 60°
measure angle 13 = 80
measure angle 6 = 80°
measure angle 5 = 60°
measure angle 10 = 120
measure angle 14 = 100

Answers

Answer:

1, 13, 5 are correct

Step-by-step explanation:

Answer: A,B,D,F are correct

Step-by-step explanation:

The graph shows the numbers of miles two cars travel.





Car B travels ___ more miles than Car A each hour.

Answers

Answer:

b goes 5 miles more than a, in 1 hour

Answer: 5 miles more than car A each hour

Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!

Hope this helps <3

-Carrie

P.S. Please be sure to mark brainliest

STAY SAFE

Help ASAP plz will give brainliest!!!

Answers

Answer:

3/4

Step-by-step explanation:

There are 8 outcomes and 6 of them are odd.

6/8 = 3/4

Thus probability is 3/4

Answer:

3/4

Step-by-step explanation:

No. of sections = 8

No. of odd numbers = 6

Probability of getting an odd no. = 6÷8 = 3/4

A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?

Answers

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfast

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

Paul drives 728 miles in 14 days.

He drives the same number of miles each day.

How many miles does he drive in 1 day?

Answers

In one day he drives 52 miles
52 miles a day !!!!

What is the range of the function shown in this table?
х 3 4 5 6 y 4 4 2 5

Answers

Answer:

2,4,5

Step-by-step explanation:

Do not repeat numbers, u need to put them in order from least to greatest, and range is for the y

a) write in simplified form the value of the area of the trapesoid.​

Answers

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

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