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

Question

contestada

Respuesta :

lucic lucic · Answer 1 · 2019-06-12T09:02:58+02:00

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.

kudzordzifrancis kudzordzifrancis · Answer 2 · 2019-06-12T09:05:53+02:00

ANSWER

The correct answer is A.

EXPLANATION

We can see from the table that:

[tex]f( - 2) = {( - 2)}^{2} = 4[/tex]

[tex]f( - 1) = {( - 1)}^{2} = 1[/tex]

[tex]f(0) = {(0)}^{2} = 0[/tex]

[tex]f(1) = {( 1)}^{2} = 1[/tex]

[tex]f(2) = {(2)}^{2} =4[/tex]

In general we can conclude that,

[tex]f(x) = {( x)}^{2} = {x}^{2} [/tex]

Therefore the parent function represented by the table is

[tex]f(x) = {x}^{2} [/tex]

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