Question

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

Answer 1

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

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

Answer 2

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.