1. Do-Now
1) Reflect quadrilateral ABCD with A(3, –1), B(8, –3), C(5, –8), and D(1, –6) in the x-axis. Find the area of the image.

2. Review Graphing Parabolas y = x2 + 7x + 10 Example: y – 2x = x2 – 15
Vertex
y = x2 + 7x + 10
Table x y
Graph
Example: y – 2x = x2 – 15
Example: y + x2 = 2x + 8

3. Circles (x – h)2 + (y – k)2 = r2 C(h, k); radius = r
Example: (x – 2)2 + (y + 1)2 = 25
Example: (x + 4)2 + y2 = 16
Graph
Example: x2 + y2 = 9
Example: Reflect y = x2 + 4x – 5 in the x-axis. Name the equation of the new parabola.
y = –x2 – 4x + 5
Example: Reflect y = x2 – 3x – 4 in the y-axis. Name the equation of the new parabola.
y = x2 + 3x – 4

4. Example: Translate y = x2 + 2x – 8 using (x + 5, y + 2)
Example: Translate y = x2 + 2x – 8 using (x + 5, y + 2). Name the equation of the new parabola.
y = x2 – 8x + 9
Graph
Example: Reflect (x – 2)2 + (y + 5)2 = 16 in the x-axis. Name the equation of the new circle.
(x – 2)2 + (y – 5)2 = 16
Graph
Example: Reflect (x + 5)2 + (y + 7)2 = 4 in the y-axis. Name the equation of the new circle.
Graph

5. y x y x
Parabolas
Circles
Random