Question

Can someone help me figure out the answer to this question and put a simple explanation with it

Answer 1

The correct option is C and the required ordered pairs are [(0,25),(1,36),(-5,0)]

Explanation:

Given function f(x) is f(x)=
`(x+5)^(2)`

To create the table:

When x=0

f(x)=
`(x+5)^(2)`

f(0)=
`(0+5)^(2)`

y=f(0)=25

When x=1

f(x)=
`(x+5)^(2)`

f(1)=
`(1+5)^(2)`

y=f(1)=36

When x=(-5)

f(x)=
`(x+5)^(2)`

f(-5)=
`((-5)+5)^(2)`

y=f(-5)=0

The required ordered pairs are [(0,25),(1,36),(-5,0)]

To select the graph,

The ordered pair (-5,0) says that when x=(-5), the coordinate of y=0

Thus, the correct option is C