1. Quadratic graphs

2. 1 a Draw the graph of y = 2x2 – 3x – 2 in the range
Put the results into a table and then draw the graph.

3. x 2 -1 1 3 4 y 12 -2 -3 7 18 1 4 3 -2 -1 5 10 15 2 y x 20 -5 x x x x x x x

4. y x b Use the graph to estimate the values of x when y = 9. and 1 4 31 4 3 -2 -1 5 10 15 2 y x 20 -5 x x x x x
-1.7
3.2 x x

5. y x c By drawing a tangent to the graph estimate the gradient of
the graph when x = 3.
Gradient 1 4 3 -2 -1 5 10 15 2 y x 20 -5 x x x 18 x x x x 2

6. 2 a Draw the graph of y = 9 + 3x - 3x2 in the range
Put the results into a table and then draw the graph.

7. x 2 -1 1 3 y -9 9 y 15 10 x x 5 x x x -2 -1 1 2 3 -5 x x
-10

8. y x b Use the graph to estimate the values of x when y = -4. and 1 31 3 -2 -1 5 10 15 2 x
-10 -5
-1.6
2.6

9. y x c By drawing a tangent to the graph estimate the gradient of
the graph when x = 1.
Gradient y 1 3 -2 -1 5 10 15 2 x
-10 -5 12 4