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Artyom0805 [142]
3 years ago
5

Which parent function is represented by the table? Can someone please help?

Mathematics
2 answers:
masya89 [10]3 years ago
7 0

ANSWER

The correct answer is A.

EXPLANATION

We can see from the table that:

f( - 2) =  {( - 2)}^{2}  = 4

f( - 1) =  {( - 1)}^{2}  = 1

f(0) =  {(0)}^{2}  = 0

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

f(2) =  {(2)}^{2}  =4

In general we can conclude that,

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

Therefore the parent function represented by the table is

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

Sergeeva-Olga [200]3 years ago
6 0

Answer:

A. f(x) = x²

Step-by-step explanation:

Observing the values

when x= -2..............f(x)= 4..................this is x²............-2²= 4

when x= -1..............f(x)= 1......................this is x²............ -1² = 1

when x= 0..............f(x)=0.....................this is x².......... 0²= 0

when x= 1.............f(x)= 1........................this is x²........ 1²= 1

When x=2........... f(x) = 2...................... this is x²........ 2² = 4

⇒The first option is correct.

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Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w
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Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

                 Investment = $ 8000

               No. of years = 15 years

             Interest rate, i = 3.1 %

                 ( compounded monthly )  

Step:1

          For for calculating future value with compound interest monthly,

                                     A = P (1 +\frac{r}{n})^{nt}.................(1)

         Where,

                     A = Future amount

                     P = Initial investment

                     r = Rate of interest

                    n = Number of compounding in a year

                     t = Time period

Step:2

           From given values,

                           P = $8000

                            r =  3.1%

                            t = 15 years

                            n = 12 ( for monthly)

           Equation (1) becomes,

                          A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}

                              = 8000 (1+0.002583)^{180}

                              = 8000(1.002583)^{180}

                              = 8000(1.591059)

                              =12728.48

                           A = $ 12728.48

Result:

           Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

                             

       

8 0
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x_1 = -1 -3i and x_2 = -1 +3i

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b). To find the y-intercept, we compute (0,f(0)). Since f(0)=-4(3)(-4)³=768, then (0,768) is the point of the y-intercept.

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Answer:

A = \frac {x ^ 2} {2}

8 0
3 years ago
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