sketching quadratics

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Created by T. Madas Created by T. Madas SKETCHING QUADRATICS

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Page 1: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

SKETCHING

QUADRATICS

Page 2: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 1

Sketch the graph of the curve with equation

2 6 5y x x= − + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 3: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 2

Sketch the graph of the curve with equation

2 2 8y x x= − − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 4: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 3

Sketch the graph of the curve with equation

2 8 9y x x= − − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 5: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 4

Sketch the graph of the curve with equation

2 8 20y x x= + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 6: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 5

Sketch the graph of the curve with equation

2 6 16y x x= − − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 7: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 6

Sketch the graph of the curve with equation

2 4 12y x x= + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 8: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 7

Sketch the graph of the curve with equation

2 3 10y x x= + − , x ∈� .

The sketch must include the coordinates of

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 9: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 8

Sketch the graph of the curve with equation

2 4 7y x x= + + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 10: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 9

Sketch the graph of the curve with equation

2 2 8y x x= + + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 11: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 10

Sketch the graph of the curve with equation

2 6 16y x x= − + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 12: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 11

Sketch the graph of the curve with equation

2 10 25y x x= − + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the minimum point of the curve.

graph

Page 13: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 12

Sketch the graph of the curve with equation

26y x x= − − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 14: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 13

Sketch the graph of the curve with equation

2 8 7y x x= − + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 15: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 14

Sketch the graph of the curve with equation

224 2y x x= + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 16: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 15

Sketch the graph of the curve with equation

2 4 12y x x= − − + , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 17: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 16

Sketch the graph of the curve with equation

( )( )1 4y x x= − − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 18: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 17

Sketch the graph of the curve with equation

( )( )2 1 4y x x= + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph

Page 19: SKETCHING QUADRATICS

Created by T. Madas

Created by T. Madas

Question 18

Sketch the graph of the curve with equation

22 7 15y x x= + − , x ∈� .

The sketch must include the coordinates of …

• … all the points where the curve meets the coordinate axes.

• … the maximum point of the curve.

graph