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Kamila [148]
3 years ago
14

Please helpwho is right, Olivia or Paula ​

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
8 0
I believe paula is correct
pochemuha3 years ago
5 0
I believe Paula is right
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3 years ago
Write the equation for f(x)=x^2
kodGreya [7K]

Answer:

f^\prime(x)=-(x+1)^2-4

Step-by-step explanation:

We have the function:

f(x)=x^2

And we want to write its equation after being: 1) Flipped over the x-axis, 2) shifted 4 units down, and 3) shifted 1 unit to the left.

To denote a flip over the x-axis, we multiply the function by -1. Hence:

f^\prime(x)=-x^2

Is our function flipped over the x-axis.

To shift n units vertically, we simply add n to our function.

Since we are going 4 units <em>downwards</em>, we will add -4 to our function. Hence:

f^\prime(x)=-x^2-4

Finally, to shift n units horizontally, we substitute our variable x for (x-n).

Since we are shifting 1 unit to the <em>left</em>, n=-1. Hence, we will substitute x for (x+1). Therefore:

f^\prime(x)=-(x+1)^2-4

So, our final function is:

f^\prime(x)=-(x+1)^2-4

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3 years ago
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