Question

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

Answer 1

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)`

Answer 2

A. f(x) = x²

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.