Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 103: 27

y=-($\sqrt -x$+2)

y=$\sqrt x$ We start with this. We need to shift this up 2 units, so we add +2 to all y values. y=$\sqrt x$ + 2 Now we need to reflect about the x-axis, which means making the y value negative. -y=$\sqrt x$ + 2 y=-($\sqrt x$ + 2) Last we reflect about the y-axis, replacing x with -x to do so. y=-($\sqrt -x$+2)