Scroll:graph >> Quadratic graphs >> ps (4146)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 Draw the graph of the following equations, y =  2x2 - x + 3

xy =  2x2 - x + 3
-4
-3 
-2 
-1 
0 
1 
2 
3 
4 


Answer:_______________




2)  

 draw the graph of the following equation, y= -4x2

xy= -4x2
-4
-3 
-2 
-1 
0 
1 
2 
3 
4 

 


Answer:_______________




3)  

Solve the equation x2 - 2x - 3 = 0 graphically.

xx2-2x-3y
-396-3
-244-3
-112-3
000-3
11-2-3
24-4-3
39-6-3
416-8-3


Answer:_______________




4)  

 Draw the graph of  y= x2+3x+2.

xy= x2+3x+2
-4
-3
-2 
-1 
0 
1 
2 
3 


Answer:_______________




5)  

 Draw the graph of the following equations: y=(x+2)(x+4) 

x y=(x+2)(x+4)
-5  
-4
-3  
-2  
-1  
0  
1  
2  
3  
4  

 


Answer:_______________




6)  

 Solve the graphically 2x3 + x - 6 = 0.

xy=2x2+x-6=0
-3
 -2  
-1 
0 
1 
2 
3 


Answer:_______________




7)  

 Draw the graph of the following equation, y =3x2.

x y=3x2
-4
-3  
-2  
-1  
0  
1  
2  
3  
4  


Answer:_______________




8)  

Draw the graph of  y = 2x2.

xx2y=2x2
-318
-28
-12
00
12
28
318


Answer:_______________




9)  

 Draw the graph of the following equations: y= -4x2.

xy=-4x2
-4
-3 
-2 
-1 
0 
1 
2 
3 
4 

 


Answer:_______________




10)  

 Draw the graph of y = 2x2.

xx2y = 2x2
-39
-24 
-11 
00 
12 
28 
318 


Answer:_______________




 

1)  

 Draw the graph of the following equations, y =  2x2 - x + 3

xy =  2x2 - x + 3
-4 Answer: 39
-3 Answer: 24
-2 Answer: 13
-1 Answer: 6
0 Answer: 3
1 Answer: 4
2 Answer: 9
3 Answer: 18
4 Answer: 31


SOLUTION 1 :
x -4 -3 -2 -1 0 1 2 3 4
x2 16 9 4 1 0 1 4 9 16
2x2 32 18 8 2 0 2 8 18 32
-x 4 3 2 1 0 1 2 3 4
3 3 3 3 3 3 3 3 3 3
y 39 24 13 6 3 4 9 18 31

 

Plot the points & join the points by a smooth curve.

this curve is called parabola y = 2x2 - x + 3

 



2)  

 draw the graph of the following equation, y= -4x2

xy= -4x2
-4 Answer: -64
-3 Answer: -36
-2 Answer: -16
-1 Answer: -4
0 Answer: 0
1 Answer: -4
2 Answer: -16
3 Answer: -36
4 Answer: -64

 


SOLUTION 1 :
x -4 -3 -2 -1 0 1 2 3 4
x2 16 9 4 1 0 1 4 9 16
y=-4x2 -64 -36 -16 -4 0 -4 -16 -36 -64

 

Plot the points & join the points by a smooth curve.

this curve is called the parabola y=-4x2



3)  

Solve the equation x2 - 2x - 3 = 0 graphically.

xx2-2x-3y
-396-3 Answer: 12
-244-3 Answer: 5
-112-3 Answer: 0
000-3 Answer: -3
11-2-3 Answer: -4
24-4-3 Answer: -3
39-6-3 Answer: 0
416-8-3 Answer: 5


SOLUTION 1 :

Let us draw the graph of y= x2 - 2x - 3

Plot the points & join the points by a smooth curve.

 

 



4)  

 Draw the graph of  y= x2+3x+2.

xy= x2+3x+2
-4 Answer: 6
-3 Answer: 2
-2 Answer: 0
-1 Answer: 0
0 Answer: 2
1 Answer: 6
2 Answer: 12
3 Answer: 20


SOLUTION 1 :
x-4-3-2-10123
x2169410149
3x-12-9-6-30369
222222222
y6200261220

 

Plot the points & join the points by a smooth curve.

The curve so obtained, is the graph of y = x2 + 3x + 2

 

 



5)  

 Draw the graph of the following equations: y=(x+2)(x+4) 

x y=(x+2)(x+4)
-5  Answer: 3
-4 Answer: 0
-3  Answer: -1
-2  Answer: 0
-1  Answer: 3
0  Answer: 8
1  Answer: 15
2  Answer: 24
3  Answer: 35
4  Answer: 48

 


SOLUTION 1 :
x -5 -4 -3 -2 -1 0 1 2 3 4
x2 25 16 9 4 1 0 1 4 9 16
6x -30 -24 -18 -12 -6 0 6 12 18 24
8 8 8 8 8 8 8 8 8 8 8
y 3 0 -1 0 3 8 15 24 35 48

 

join the points by smooth curve.

this curve is called the parabola y=(x+2)(x+4)

 



6)  

 Solve the graphically 2x3 + x - 6 = 0.

xy=2x2+x-6=0
-3 Answer: 9
 -2  Answer: 0
-1 Answer: -5
0 Answer: -6
1 Answer: -3
2 Answer: 4
3 Answer: 15


SOLUTION 1 :
x-3-2-10123
x29410149
2x218820123
x-3-2-10123
-6-6-6-6-6-6-6-6
y90-5-6-3415

 

Plot the points & Joint the points by a smooth curve.

 

 



7)  

 Draw the graph of the following equation, y =3x2.

x y=3x2
-4 Answer: 48
-3  Answer: 27
-2  Answer: 12
-1  Answer: 3
0  Answer: 0
1  Answer: 3
2  Answer: 12
3  Answer: 27
4  Answer: 48


SOLUTION 1 :
x -4 -3 -2 -1 0 1 2 3 4
x2 16 9 4 1 0 1 4 9 16
y=3x2 48 27 16 3 0 3 16 27 48

 

Plot the points & join the points by a smooth curve.

This curve is called the parabola y=3x2.



8)  

Draw the graph of  y = 2x2.

xx2y=2x2
-318 Answer: 18
-28 Answer: 8
-12 Answer: 2
00 Answer: 0
12 Answer: 2
28 Answer: 8
318 Answer: 18


SOLUTION 1 :

First let us assign the integer values from -3 to 3 for x and form the following table.

 

x-3-2-10123
x29410249
y=2x2188202818

 

 

Plot the points

Join the points by a smooth curve.

Thecurve, thus obtained is the graph of y = 2x2



9)  

 Draw the graph of the following equations: y= -4x2.

xy=-4x2
-4 Answer: -64
-3 Answer: -36
-2 Answer: -16
-1 Answer: -4
0 Answer: 0
1 Answer: -4
2 Answer: -16
3 Answer: -36
4 Answer: -64

 



10)  

 Draw the graph of y = 2x2.

xx2y = 2x2
-39 Answer: 18
-24 Answer: 8
-11 Answer: 2
00 Answer: 0
12 Answer: 2
28 Answer: 8
318 Answer: 18


SOLUTION 1 :

 

x-3-2-10123
x29420249
y = 2x218164041618

 

plot the points & joint as a smooth curve.