This project was based on the parent functions in Chapter P. We had to make transformations from the parent functions. The transformations we had to create were vertical translations, horizontal translations, and reflections across the x-axis and y-axis. The parent function that I will explain about is the squaring function, x2.
The original function x2 is in blue.
The vertical translation, function of y= x2 +2, is shown in orange. It was a vertical shift up 2 units.
The horizontal translation, function of y= (x-2) 2, is shown in magenta. It was a horizontal shift right 2 unit.
The vertical and horizontal translation, function of y= (x-2) 2 +1, shown in red. It was a horizontal shift right 2 unit, vertical shift up 1 unit.
The horizontal reflection, function of y= -x2, shown in pink. I flipped the parent function graph across the x-axis.
The vertical reflection, function of y= -x2 -1, shown in green. It was a reflection and vertical shift down 1.
The vertical shrink and stretch, function of -2x(x+1) 2 -3, shown in purple. It was a reflection, horizontal shift left 1, and vertical shift down 5 and vertical stretch by 2.