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