Question

How do you graph the function `f(x) = (x + 2)^2`?

Answer 1

Refer the explanation section

Explanation:

Given -

y = `(x +2)^2`
y = `x^2 + 4x + 4`

Find its vertex -

x = `(-b)/(2a)= (-(4))/(2 xx 1)`= - 2

Take a few values on either side of x = -2
plot the points.
Join them with a smooth curve.
x : y
-5 : 9
-4 : 4
-3 : 1
-2 : 0
-1 : 1
0 : 4
1 : 9
graph{x^2+4x+4 [-10, 10, -5, 5]}