Question

complete the square and explain how
to transform the graph of y = x^2 into the graph of the given
function f(x)= x^2 +2x+4

Answer 1

x^2 + 2x + 4
= (x + 1)^2 - 1 + 4
= ( x + 1)^2 + 3

Answer 2

the + 2 in the brackets transforms x^2 by moving the while curve 2 units to the left parallel to the x-axis

the +3 moves the graph 3 units upwards parallel to y-axis