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krok68 [10]
3 years ago
9

How does the graph of f(x) = (x - 1)2 relate to the basic function f(x) = x??

Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

f(x)=x^2

The given function is  

g(x)=(x-1)^2

So, the given function can be written in the form of basic form as

g(x)=f(x-1)     ...(1)

The translation is defined as

g(x)=f(x+a)2+b     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=-1,b=0

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

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Mark makes more money than Stan.

Step-by-step explanation:

There are about 52 weeks in a year. If you multiply $685 by 52, it will be $36,305.

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Prove the divisibility of the following numbers:
ratelena [41]

Make use of prime factorizations:

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- - -

The second one is not true! We can write

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Both terms have a common factor of 5^7:

15^7+5^{13}=5^7\left(3^7+5^6\right)

Since 30=5\cdot6, and 5\mid5^7, we'd still have to show that 5^6(3^7+5^6) is a multiple of 6. This is impossible, because 6=3\cdot2 and there is no multiple of 2 that can be factored out.

4 0
3 years ago
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