1. The Quadratic Curve
Wednesday, 01 May 2019

2. Example
Draw the graph of y=x2 for values of x between –3 and 3 x –3 –2 –1 1 2 3 y 9 4 1 1 4 9 2 4 6 8 10 y x 1 2 3 -1 -2 -3

3. Example
Draw the graph of y=x2-5 for values of x between –3 and 3 x –3 –2 –1 1 2 3 y 4 -1 -4 -5 -4 -1 4 -4 -2 -6 2 4 y x 1 2 3 -1 -2 -3

4. Example
Draw the graph of y=x2+2 for values of x between –3 and 3 x –3 –2 –1 1 2 3 y 11 6 3 2 3 6 11 2 4 6 8 10 y x 1 2 3 -1 -2 -3

5. Example
Draw the graph of y=2x2 for values of x between –3 and 3 x –3 –2 –1 1 2 3 y 18 8 2 2 8 18 5 10 15 20 25 y x 1 2 3 -1 -2 -3

6. Example
Draw the graph of y=3x2-5 for values of x between –3 and 3 x –3 –2 –1 1 2 3 y 22 7 –2 –5 –2 7 22 -5 5 10 15 20 y x 1 2 3 -1 -2 -3

7. Draw the graph of y = x2 – 3x – 2 for x between – 2 and 4 x
Example
Draw the graph of y = x2 – 3x – 2 for x between – 2 and 4 x –2 –1 1 2 3 4 y
Example
Draw the graph of y = x2 + 2x – 15 for x between -3 and 3 x –3 –2 –1 1 2 3 y

8. Draw the graph of y = x2 +2x +1 for x between – 3 and 3 x
Example
Draw the graph of y = x2 +2x +1 for x between – 3 and 3 x –3 –2 –1 1 2 3 x2
+2x +1 y 9 4 1 1 4 9 −6 −4 −2 2 4 6 +1 +1 +1 +1 +1 +1 +1 4 1 1 4 9 16

9. Draw the graph of y = 4x – x2 for x between – 2 and 4 x
Example
Draw the graph of y = 4x – x2 for x between – 2 and 4 x –2 –1 1 2 3 4 y
Example
Draw the graph of y = 1 – 2x – x2 for x between -4 and 3 x –4 –3 –2 –1 1 2 3 y