Question

Complete this activity. include all of your work in your final answer. submit your solution given:

Answer 1

Answer:

$f(x+h)=(x+(h+1))^{2}$

Step-by-step explanation:

we have

$f(x)=x^{2} +2x+1$

we know that

To find out f(x+h) substitute the variable x by (x+h) in the function f(x)

so

$f(x+h)=(x+h)^{2} +2(x+h)+1$

$f(x+h)=x^{2}+2xh+h^{2} +2x+2h+1$

$f(x+h)=x^{2}+(2xh+2x)+(h^{2}+2h+1)$

$f(x+h)=x^{2}+2x(h+1)+(h+1)^{2}$

$f(x+h)=(x+(h+1))^{2}$