Beyond the Basics

129. $g (x) = - \sqrt{1 - x}$ $g (x) = - \sqrt{1 - x}$
131. Shift 2 units to the left, and then 4 units down.
133. $- x^{2} + 2 x = - (x^{2} - 2 x + 1) + 1 = - {(x - 1)}^{2} + 1$ $- x^{2} + 2 x = - (x^{2} - 2 x + 1) + 1 = - {(x - 1)}^{2} + 1$ Shift 1 unit to the right, reflect about the x-axis, and then shift 1 unit up.
135. $2 x^{2} - 4 x = 2 (x^{2} - 2 x + 1) - 2 = 2 {(x - 1)}^{2} - 2$ $2 x^{2} - 4 x = 2 (x^{2} - 2 x + 1) - 2 = 2 {(x - 1)}^{2} - 2$ Shift 1 unit to the right, stretch vertically by a factor of two, and then shift 2 units down.
137. $- 2 x^{2} - 8 x + 3 = - 2 (x^{2} + 4 x + 4) + 11 = - 2 {(x + 2)}^{2} + 11$ $- 2 x^{2} - 8 x + 3 = - 2 (x^{2} + 4 x + 4) + 11 = - 2 {(x + 2)}^{2} + 11$ Shift 2 units to the left, stretch vertically by a factor of 2, reflect about the x-axis, and then shift 11 units up.
139.
141.
143.

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.

Table of Contents for Beyond the Basics