College Algebra, 4th Edition

Building Skills

1. 1.

   1. Opens up

   2. Vertex: (1, 2)

   3. Axis: $x=1$

   4. No x-intercept

   5. y-intercept: 3

   6. Decreasing on $(-\infty ,1),$ increasing on $(1,\infty )$

   

2. 3.

   1. Opens down

   2. Vertex: (3, 4)

   3. Axis: $x=3$

   4. x-intercepts: $3\pm \sqrt{2}$

   5. y-intercept: $-14$

   6. Increasing on $(-\infty ,3),$ decreasing on $(3,\infty )$

   

3. 5.

   1. Opens down

   2. Vertex: (0, 3)

   3. Axis: y-axis

   4. x-intercepts: $\pm {\displaystyle \frac{\sqrt{6}}{2}}$

   5. y-intercept: 3

   6. Increasing on $(-\infty ,0),$ decreasing on $(0,\infty )$

   

4. 7.

   1. Opens up

   2. Vertex: (1, 1)

   3. Axis: $x=1$

   4. No x-intercept

   5. y-intercept: 3

   6. Decreasing ...