Describe the geometrical transformation that maps the graph of y=x^2 onto the graph of y=x^2 + 2x + 5
The graph of y = x^2 is:
This is shifted horizontally to the left with y = (x + 1)^2
Shifting the graph vertically upwards by 4 units gives the graph of y = x^2 + 2x + 5
y = x^2 is transformed to y = x^2 + 2x + 5 by shifting it horizontally to the left and vertically upwards.