What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?

What Is The Effect On The Graph Of F(x) = X2 When It Is Transformed To H(x) = 2 X2 + 15?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)

Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,

f(x) vertically streched by a factor of2  first, Therefore,

g(x) = 2f(x)

      = 2x²

Now, the function g(x) is moved up by 15 units, therefore,

h(x) = g(x) + 15

      = 2x² + 15

Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

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What Is The Effect On The Graph Of F(x) = X2 When It Is Transformed To H(x) = 2 X2 + 15?

Related Questions

a bag with 6 marbles has 3 red marbles one yellow marble and two blue marbles a marble is chosen from the bag at random what is the probability that it is red write in fraction in simplest form​

Answers

3/6. Simplified is 1/2 for red (1/2 is your answer).


2/6. Simplified is 1/3 for blue
1/6. Is yellow

The probability of choosing a red marble is 1/2.

Given that, a bag with 6 marbles has 3 red marbles 1 yellow marble and 2 blue marbles.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, the total number of outcomes =6

The number of favorable outcomes =3

Probability of an event = 3/6

= 1/2

Therefore, the probability of choosing a red marble is 1/2.

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PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles

Answers

Answer:

1)

8x + x = 180

9x = 180

x = 30

2)

x + 2 = 2x - 40

2 = x - 40

x = 42

3)

2x + x = 90

3x = 90

x = 30

4)

3x + 1 = 4x - 25

1 = x - 25

x = 26

Find the value of x.
71°
(10x + 6)°
(13x - 2)°
(8x - 1)
#15

Answers

Answer:

7x7/6x4

Step-by-step explanation:

You pick a card at random. What is P(6)? Write
your answer as a percentage.

Answers

25% because you would have a 25% if there’s four cards each and it would add up to 100%

Sorry im not that good at explaining but its 25%

Write the equation of the line (in slope-intercept form) where: slope = 1/4 and y-intercept = (0, -5)

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

The formula is y=mx+b

m=slope, slope= 1/4

b= y-intercept, which equals -5.

Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.

The final formula would look like y=1/4x-5

A computer that costs x dollars wholesale is marked up 20% at a store. Which expression represents the final price of the computer?

Answers

Answer: A

Step-by-step explanation: I think sorry

Can someone please help me ?

Answers

Answer:

Option c is correct

Step-by-step explanation:

Y =mx+c

Where m=2/3

c= 8/3

Answer:

the third option is the right answer

Step-by-step explanation:

y = mx+c

m is the slope

c is the y-intercept

compare the below equations:

[tex]y = mx + c[/tex]

[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]

[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]

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Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was % of the estimated time Use pencil and paper. What does it mean to have more than 100% of something? Give at least two examples The amount of time it took to finish the project was % of the estimated time (Type an integer or a decimal.)​

Answers

Answer:

320%

To have over 100% of something means that you have more than the original number you had.

Step-by-step explanation:

Step-by-step explanation:

To find what percent a first number is of second number, divide the first number by the second number and multiply by 100%.

To find what percent 16 is of 5, divide 16 by 5 and multiply by 100%.

16/5 * 100% = 3.2 * 100% = 320%

"Percent" literally means "per 100."

100% means 100 out of 100, and means an entire amount.

More than 100% percent means more than the entire amount.

5 hours was the estimated time. 100% of 5 hours is 5 hours, the entire amount. More than 100% is more than the entire amount, so it is more than 5 hours. 16 hours is certainly much more than 5 hours, and it is 320% of 5 hours.

HELP ME PLEASE!!!!!
The midpoint of PQ is M=(3, -1). One endpoint is P=(8, -7). Find the coordinates of the other endpoint, Q.

Answers

Answer:

I think the answer (-2, 6)

the sum of 5 and a number x


plz help
due by 11:59

Answers

Answer:

x+5 is the answer.............

Answer:

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}[/tex]

⇒. x +5

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

A function f is onto if and only if, each element in the codomain of f is the image of at _____ one element in the domain of f

Answers

Answer:

A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.

Step-by-step explanation:

A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.

Let us consider a function f which maps the elements of X to each element in the domain of f, such that

f(1) = D

f(2) = B

f(3) = C

f(4) = C

From here, we can determine the domain and range, so

Domain  X of f = {1, 2, 3, 4}

Domain  Y of f =  {D, B, C}

Therefore, it is clear that every element in the codomain of f is the image of at least one element in the domain of f.

How to solve this problem

Answers

Answer:

Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

Step-by-step explanation:

We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i

Prime factors of 81 are: 3x3x3x3

and [tex]\sqrt{-1}=i[/tex]

Solving:

[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]

So, Solving the radical [tex]\pm\sqrt{-81}[/tex]  we get [tex]\mathbf{\pm9 \ i}[/tex]

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

Merry Christmas please help

Answers

Answer:

A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence W

Can you guys please help! I need the help ASAP I only have 10 minutes

Answers

Answer:

i think it jkme

Step-by-step explanation:

Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel, perpendicular, or if there is not enough information

Answers

Answer:

A. Parrellel

Step-by-step explanation:

it is parrellel because if you look between b and c you can

see that it is a parrellel line


Based on the P's and Q's of this polynomial (The Rational Zero Theorem), which of the following could NOT be a zero of the polynomial 4x3 + 4x2 - 11x-6?

Answers

Answer:

4

Step-by-step explanation:

P are the factors of the last coefficient (6) and Q are the factors of the first coefficient (4). Since p is divided by q, we could have 3/1, 6/1, 2/1, and 1/1, but not 4/1 since 4 is not a factor of 6

_______________________

Answers

Answer:

C.

Step-by-step explanation:

Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?

Answers

22.40 * 0.15 = 3.36
The tip is $3.36
$3.36 hope this helps.
22.40*.15= 3.36

4 (3u - 1) - 4u = 76*
u=?

Answers

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

what is the least common denominator for 2/5 and 3/2​

Answers

Answer:

4/10

Step-by-step explanation:

⅖ = 4/10

3/2 = 15/10

The common denominator is 10.

The answer to the question is 10.

The least common denominator (LCD) is the most smallest number that can be a shared factor for a set of numerals. We see here the LCD is 10 because both fractions have a denominator of 10.

Factor the expression using GCF of 4+22​

Answers

Answer:

the answer would be 2(2+11)

Step-by-step explanation:

What is the graph of y=3/4x-3?

Answers

Answer:

Graph A

Step-by-step explanation:

you can write the equation into desmos (search it up on google) and it will produce a graph for you and just match it to the ones you have shown

How would you write 0.7 repeated as a fraction

Answers

Answer:

7/9

Step-by-step explanation:

7/9 = 0.777777777777777777...

0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].

What are Fractions?

Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.

Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.

Fractions can be simplified as decimals.

We have to find the fraction representing the number 0.7 repeated.

0.7 repeated is actually the number 0.77777.....

The quotient of 5/8 = 0.625

The quotient of 6/7 = 0.857...

The quotient of 7/9 = 0.777.......

The quotient of 7/100 = 0.07

So, the quotient of 7/9 is the required number.

Hence the fraction which on simplification gives 0.7 repeated is 7/9.

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what is the final position of (-7) + (-2) on a number line ?

Answers

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

What is the value
14x +18 = 118

Answers

Answer:

[tex]x = 7.142(appx)[/tex]

Step-by-step explanation:

[tex]14x + 18 = 118[/tex]

[tex] = > 14x = 118 - 18 = 100[/tex]

[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]

GIVING BRAINLIEST PLEASE HELPPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

The number of tips that the server gets is dependent on how many customers she serves.

Hope this helps!

Answer:

i dont understand

Step-by-step explanation:

but probably c

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

Please stat Brainlist who ever answers first OR! Who ever answers with a fluent explanation.

Answers

Answer:

Yes it is a proportional relationship

Step-by-step explanation:

You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.

Answer:

Yes it is a proportional relationship.

Step-by-step explanation:

It is because You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.

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