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geniusboy [140]
3 years ago
10

What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

f(x) =  {x}^{2}

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

g(x) = a {(x   + h)}^{2}  + k

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

f(x) =  {x}^{2}

given

f(x) = 2( {x  + 2)}^{2}  + 1

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

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Usimov [2.4K]

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c

Step-by-step explanation:

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44.1 mm^2

Step-by-step explanation:

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4 0
2 years ago
Now see if you can solve these word problems about time and distance.
ladessa [460]

Answer:

3.5 hours

Step-by-step explanation:

Ediburgh -------------------------------350 miles-------------------------London

Let the distance traveled by train from Edin to London be "x"

hence the distance traveled by train from London to Edin would be "350-x"

  • The rate of Edin to London train is 60
  • The rate of London to Edin train is 40

Let the time they meet be"t"

Now, we know distance formula to be D = RT

Where

D is distance

R is rate

and

T is time

<u>Train from Edin to London:</u>

x = 60t

<u>Train from London to Edin:</u>

350-x = 40t

Solving for x:

350 - 40t = x

We put this into first equation:

x = 60t

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t = 350/100

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They meet after 3.5 hours

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3 years ago
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