Answer:
The correct option is C and the required ordered pairs are [(0,25),(1,36),(-5,0)]
Step-by-step explanation:
Given function f(x) is f(x)=[tex](x+5)^{2}[/tex]
To create the table:
When x=0
f(x)=[tex](x+5)^{2}[/tex]
f(0)=[tex](0+5)^{2}[/tex]
y=f(0)=25
When x=1
f(x)=[tex](x+5)^{2}[/tex]
f(1)=[tex](1+5)^{2}[/tex]
y=f(1)=36
When x=(-5)
f(x)=[tex](x+5)^{2}[/tex]
f(-5)=[tex]((-5)+5)^{2}[/tex]
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
