Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)

Answers

Answer 1

Answer:

translate 2 units to the left and compress by 1/2 in the y direction

Step-by-step explanation:

f(x)=x²

y = f(x + C)  C > 0 moves it left

We add 2 to move it 2 units to the left

h(x) = (x+2)^2

y = Cf(x) 0 < C < 1 compresses it in the y direction

g(x) = 1/2 (x+2)^2


Related Questions

What is the volume of a hemisphere with a radius of 4.3cm rounded to the nearest tenth of a cubic centimeter

Answers

Answer:

166.59 cm³ (approx.)

Step-by-step explanation:

which expression is equal to: 3c (1/3 d-9) -7(c-1) + d(c + 4)?
A. 2cd + 8c + 4
B. 2cd + 34c + 4d + 7
C. 2cd - 34c + 4d + 7
D. 2cd - 7c - 4

Please include steps!​

Answers

Answer:

c

Step-by-step explanation:

Which of the following best describes using a slope of -5/10 on a graph?

O Move up 5 and right 10.
O Move left 5 and up 10.
O Move down 5 and right 10.
O Move down 5 and left 10.

Answers

Answer:

move down five and move right ten

The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.

Which statement is true?

a. Every point on the graph is shifted down 1 unit.

b. Every point on the graph is shifted left 1 unit.

c. Every point on the graph is shifted right 2 units.

d. Every point on the graph is shifted up 2 units.

Answers

Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d

12(5x + 10x²) = 256 + 60x
How do I solve this equation

Answers

Answer:

30

Step-by-step explanation:

idek

The answer would be what's shown below

Evaluate 4-2 f when f= 1.

Answers

╭═══════ღ❦ღ══╮

[tex]\boxed{ \sf{Answer}}[/tex]

⏩ Substitute the value of 'f' in the equation.

[tex]4 - 2f \\ = 4 - 2(1) \\ = 4 - 2 \\ = 2[/tex]

⏩ The answer will be 2.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

╰══ღ❦ღ═══════╯

Answer:

2

Step-by-step explanation:

If you multiply 2 by 1, you get 2. Then subtract 2 from 4 to get 2.

Hope that this helps!

Which relation is a function?

Answers

I might be wrong or right but it’s might be the one with the circle
The fourth choice, bottom right, or the choice you have selected is correct.
To tell us a graph is a function. They must pass the vertical line test. So if u were to draw a line straight down from an x axis, the line should not intercept the relation on the graph twice. Therefore the answer is bottom right

help me pls pls pls pls pls pls

Answers

10 is -35
11 is -30
12 is 1
And I don’t know 9 sorry

What is the volume of this rectangular prism?
5 cm
3 cm
4 cm

A. 12 cm3
B. 94 cm3
C. 120 cm3
D. 60 cm3

Answers

Answer:

The volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h    

V = 4cm × 3cm × 5cm

V = 60[tex]cm^{3}[/tex]

Therefore, the volume of this rectangular prism is D. 60[tex]cm^{3}[/tex].    

En la figura se muestran dos bloques de m1= 0,8 Kg y m2= 0,2 kg si el bloque de masa m2 es arrastrado por el bloque masa m1 calcular la aceleracion del sistema y la aceleracion de la cuerda

Answers

Answer:

The acceleration in the system and in the rope is same as 5.88 m/s2.

Step-by-step explanation:

The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope

Let the acceleration is a and the tension in the string is T.

Use Newton's second law

[tex]m_1 g - T = m_1 a ..... (1)\\\\T -m_2 g = m_2 a ......(2)\\\\Add both of them \\\\(m_1 - m_2) g = (m_1 + m_2) a \\\\(0.8-0.2)\times9.8 = (0.8+0.2)a\\\\a = 5.88 m/s^2[/tex]

Plzzzz help asap thank you

Answers

1. Some values of x that would make this inequality true are (-6) (-7) (-8) (-9) etc.. *remember to keep going upward with negative sign as two negative signs cancel each Other out; making them bigger than 10
2. The difference between -2x>=10 from -2x>10 is this:
-2x>=10
___ __
-2. -2

X<=-5 (I reversed the sign cause it’s dividing by a negative)

And then the second equation:

-2x>10
__. __
-2. -2

X<-5

The difference is that -2x>=10 has a product of x< =-5 meaning that X has to be less than OR equal to -5. On the other hand, -2x>10 results in x<-5 meaning that X has to be less than -5 but CANNOT be equal to -5 since there isn’t any underline the inequality. They are different as the one with the underline of the inequality can be -5 or below.. though the one without the underline of the inequality can only have numbers below -5

Find the value of x in the isosceles triangle shown below​

Answers

Answer:

2²+3² =x²

4+9. =

=13

x. =13

answer is option c

Answer:

C

Step-by-step explanation:

You divided 4/2 you get 2

2^2+3^2=x^2

x^2=4+9

x^2=13

x= square root 13

What is the value of 4x + 9, when x = 4?

Answers

Answer:

The answer would be 25.

4x4=16

16+9=25

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

25

Step-by-step explanation:

rewrite the equation

(4x4)+9

do the equation

16+9=25

What is the y-intercept of the graph below?

Answers

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

PLEASE HELP FAST, THANKS

Answers

Answer:

c=66 a=35 b=74

Step-by-step explanation:

According to the sum of the internal angles of the triangle is 180 °, The degree of each angle can be calculated

Solve x2+x-1=0 using the quadratic formula.

Answers

Answer:

x = [tex]\frac{-1 ±\sqrt{5} }{2}[/tex]

Step-by-step explanation:

Ignore the A that doesn't belong in the answer

Sometimes you can use the distributive property to expand an expression.
You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answers

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

What is the value of X enter your answer in the box

Answers

Answer:

x = 27

Step-by-step explanation:

The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27

To solve for the value of x you need to use and setup proportions then cross multiply then solve for the isolated variable

Find the measure of the largest angle.

Answers

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

Hope this help!!!

Have a nice day!!!

Subtract one half of a number from 10

Answers

Answer:

10-1/2n

hope this helps

have a good day :)

Step-by-step explanation:

Ayuda es urgente porfavor

Answers

the answer is A



… hope this helps

Find the value of x (No explanation please :)

Answers

Answer:

48

Hope this helps!

Brian went to the movies. He spent $8 on his movie ticket and $10 on snacks. He brought $20 to the movies. Which equation could be used to find the amount of money Brian had left?

Answers

20-10=10-8=2 so he has 2$ left over and he spent 18$ of it lol

Use the triangle at the right to answer questions 7 and 8.
7.
Find the value for w?
A. 7
B. 14
C. 7V2
D. 14V2
W
14
8.
Find the value for z?
450
A. 7
Z
B. 1412
D. 73
C.
14

Answers

Answer:

7) 14✓2

8) 14

are the answers.

Step-by-step explanation:

in a triangle the sum of angles is 180 deg.

the third angle will be = 180 - 90 - 45

= 45 deg

since 2 angles in the triangle are 45 deg it means the triangle is isosceles

and in isosceles triangle the sides opposite to equal angles are equal which means

z = 14 (answer to question 8)

now in right angle triangle, by pythogoras theorem,

hypotenuse ² = base ² + height ²

thus

[tex] {w}^{2} = {z}^{2} + {14}^{2} \\ {w}^{2} = {14}^{2} + {14 }^{2} \\ {w}^{2} = 2 \times {14}^{2} \\ w = \sqrt{2 \times {14}^{2} } \\ = \sqrt{2} \times 14 \\ = 14 \sqrt{2} [/tex]

answer to question 7

A researcher posts an online advertisement offering $25 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of the following statements is true about the sample? (1 point)

a
It is not a valid sample because it is only a short study.

b
It is a valid sample because money was offered to participants.

c
It is a valid sample because the first 10 people were selected to participate.

d
It is not a valid sample because it is not a random sample of the population.

Answers

Answer:

A

Step-by-step explanation:

The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!

Answer:

A) It is not a valid sample because it is only a short study.

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1000 e^0.1t how log before the investment doubles?

Answers

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is [tex]r=10\%[/tex]

Future value is given by [tex]s=1000e^{0.1t}[/tex]

For the investment to double itself, i.e. [tex]s=2000[/tex]

[tex]\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}[/tex]

It takes around 6.93 years to double the investment.

HELP for these 2 !!! it’s asking if it’s a function or not

Answers

they are both not functions, they have repeating numbers

Which is equivalent to 5.253 × 10-²?

Answers

Step-by-step explanation:

equivalent to 5.253 × 10-² is 0.05523

hope it is helpful to you

Please helpppppp 7th grade math

Answers

Answer:

A    1 cup

Step-by-step explanation:

Number of batches

24/6 = 4

Cups needed

1/4 * 4 = 1

Answer: A 1 cup. Hope this helps

Which expressions can be used to find the volume of the prism?

Answers

Answer:

I'm not seeing the options clearly so I'll answer the entire question then perhaps you can get your answer from that

Step-by-step explanation:

Formula for finding volume of rectangular prism =

Area or rectangle x Height

(L x B) x H

[tex] = (8 \times 3) \times 5 \\ = (24) \times 5 \\ = 120 {cm}^{3} [/tex]

I hope it helped?

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