MATHEMATICS HIGH SCHOOL

What is the equation of the graph that represents the parent function f(x^4) stretched vertically by a factor of 2, and then shifted up 3 spaces.A) g(x)= 2x^4+3

B) g(x)= 2(x^4+3)

C) g(x)= 2(x+3)^4

D) g(x)= 2x^4-3

Answers

Answer 1

Answer:

The required transformed graph of parent graph f(x^4) is $2x^4+3$

The correct option is (A)

Transformation on Graph:

If we have a original graph of the function f (x) then

Vertical transformation by a unit = a f(x)

Horizontal compression by a unit = f(ax)

Vertical translation up a units = f(x) + a

How to find transformed graph?

Here we have given original function is f(x^4)

If the graph stretched vertically by 2 unit then transformed graph is

=2 $f(x^4)$

Also we have given the graph is shifted up 3 units

Therefore the graph will be = $2f(x^4)+3$

The correct option is (A)

This is the conclusion to the answer.

Learn about transformation of the graph here-

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Answer 2

Answer:

Yep A is the answer

Step-by-step explanation:

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A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.

Answers

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

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x= 8785/ .07

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A pair of jeans are originally priced at $30.00 jeans go on sale for 20% off, what is the difference between the sale price and the original cost?

Answers

Answer:

$ 6

Step-by-step explanation:

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$= (20)/(100)*30$

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At the bank,Brent exchanges $50 in bills for 50 one dollar coins.The total mass of the coins is 405 grams.Estimate the mass of 1 one dollar coin

Answers

Data:

$50 dollars in bills → 50 coins of one dollar

Estimate the mass of one dollar coin
Solving:

50 coins → 405 grams
1 coin → x

The rule of three

50*x = 405*1
50x = 405
$x = (405)/(50)$
$x = 8,1$
We have:

$\boxed{x \approx 8grams/coin}$

405/50=8.1grams
if asked to simplify the answer would be 8 grams per coin

I have a homework problem on functions, its a expondental problem how do i right a equation for it