y = 3|𝑥 + 5| − 7
The parent function is y= |x|.
Transformations: First the graph y=|x| shifts horizontally 5 units to the left, then a vertical stretch by a factor of 3 away from the x axis and finally a vertical shift of 7 units downwards.
y = (-x3)/(2) + 4
The parent function is y=x3
Transformations: The graph of y=x3 is reflected about the y axis and compressed towards the x-axis by a factor of 1/2. Then shifted up by 4 units.
y = 5 - √(2x)/(3)
The parent function is y=√x
Transformations: The graph y=√x is stretched away from the y axis by a factor of 2/3 and reflected about the x axis and finally shifted up by 5 units.
y = (-4x)2 - 3
The parent function is y=x2
Transformations: The graph of y=x2 is compressed towards the y-axis by a factor of 4 and reflected about the y axis and finally shifted down by 3 units.