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QUADRATIC GRAPH
MEMBER OF THE 
TEAM 
Amiruddin bin Razale 
Muhammad Iskandar Zulqarnain bin Mohd Ishak 
Mohamad Daniel Hakeem bin Md Nazri 
Muhammad Adam Qusyairi bin Zamzury 
Wan Faris Haziq bin Wan Jalalludin
Quadratic Graph 
The general expression for a quadratic function that takes the form ax2 + 
bx +c where a, b and c are constant. Some examples of quadratic 
functions are given below. 
y = 2x2 + 3x – 12 y = x2 – 5x y = x2 
If a graph of quadratic funtion is plotted, the smooth curve produced is 
called a parabola. 
parabola 
REMEMBER ! 
THE SHAPE OF LINE 
OF QUADRATIC 
GRAPH MUST BE 
CURVE.
There are two ways 
that we can use to 
solve the quadratic 
graph of function : 
TABLE 
VALUE 
REPLACE 
VALUE
1) First, look at the question given. 
2) For example: 
Using this equation, construct a table of 
values and plot a graph. 
Y = x2 + x – 2 -4 ≤ x ≤ 3 
3) Construct a table value as the question 
need. 
* using a table, we can find the 
coordinates. 
TABLE VALUE SOLVING
Y = x2 + x – 2 
-4 ≤ x ≤ 3 
AXIS X 
WE’LL GET THE 
VALUE OF AXIS Y 
USING THE TABLE
Y = x2 + x – 2 -4 ≤ x ≤ 3 
x -4 -3 -2 -1 0 1 2 3 
X2 16 9 4 1 0 1 4 9 
+x -4 -3 -2 -1 0 1 2 3 
-2 -2 -2 -2 -2 -2 -2 -2 -2 
Y = x2 
+ x – 
2 
10 4 0 -2 -2 0 4 10 
We’ll considered the red font (x,y) colour as the coordinate.
x y 
-4 10 
-3 4 
-2 0 
-1 -2 
0 -2 
1 0 
2 4 
3 10
10 
8 
6 
4 
2 
0 
-4 -3 -2 -1 1 2 3 
-2 
-4 
-6 
-8 
-10
REPLACE VALUE SOLVING 
1. Replace x value with the value 
given. 
e.g 1 : 
2x2 – 1 -3≤ x ≤ 3
2x2 – 1 -3≤ x ≤ 3 
Replace x one by one following the value -3≤ x ≤ 
3 
2x2 – 1 
2(-3)2 – 1 17 
2(-2)2 – 1 7 
2(-1)2 – 1 1 
2(0)2 – 1 -1 
2(1)2 – 1 1 
2(2)2 – 1 7 
2(3)2 – 1 17 
x y 
-3 17 
-2 7 
-1 1 
0 -1 
1 1 
2 7 
3 17
15 
12 
9 
6 
3 
0 
-3 -2 -1 1 2 3 
-3
EXERCISE

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IGCSE MATHS - Algebraic and Graph - Graph of Functions (quadratic, cubic....)

  • 2. MEMBER OF THE TEAM Amiruddin bin Razale Muhammad Iskandar Zulqarnain bin Mohd Ishak Mohamad Daniel Hakeem bin Md Nazri Muhammad Adam Qusyairi bin Zamzury Wan Faris Haziq bin Wan Jalalludin
  • 3.
  • 4. Quadratic Graph The general expression for a quadratic function that takes the form ax2 + bx +c where a, b and c are constant. Some examples of quadratic functions are given below. y = 2x2 + 3x – 12 y = x2 – 5x y = x2 If a graph of quadratic funtion is plotted, the smooth curve produced is called a parabola. parabola REMEMBER ! THE SHAPE OF LINE OF QUADRATIC GRAPH MUST BE CURVE.
  • 5.
  • 6. There are two ways that we can use to solve the quadratic graph of function : TABLE VALUE REPLACE VALUE
  • 7. 1) First, look at the question given. 2) For example: Using this equation, construct a table of values and plot a graph. Y = x2 + x – 2 -4 ≤ x ≤ 3 3) Construct a table value as the question need. * using a table, we can find the coordinates. TABLE VALUE SOLVING
  • 8. Y = x2 + x – 2 -4 ≤ x ≤ 3 AXIS X WE’LL GET THE VALUE OF AXIS Y USING THE TABLE
  • 9. Y = x2 + x – 2 -4 ≤ x ≤ 3 x -4 -3 -2 -1 0 1 2 3 X2 16 9 4 1 0 1 4 9 +x -4 -3 -2 -1 0 1 2 3 -2 -2 -2 -2 -2 -2 -2 -2 -2 Y = x2 + x – 2 10 4 0 -2 -2 0 4 10 We’ll considered the red font (x,y) colour as the coordinate.
  • 10. x y -4 10 -3 4 -2 0 -1 -2 0 -2 1 0 2 4 3 10
  • 11. 10 8 6 4 2 0 -4 -3 -2 -1 1 2 3 -2 -4 -6 -8 -10
  • 12. REPLACE VALUE SOLVING 1. Replace x value with the value given. e.g 1 : 2x2 – 1 -3≤ x ≤ 3
  • 13. 2x2 – 1 -3≤ x ≤ 3 Replace x one by one following the value -3≤ x ≤ 3 2x2 – 1 2(-3)2 – 1 17 2(-2)2 – 1 7 2(-1)2 – 1 1 2(0)2 – 1 -1 2(1)2 – 1 1 2(2)2 – 1 7 2(3)2 – 1 17 x y -3 17 -2 7 -1 1 0 -1 1 1 2 7 3 17
  • 14. 15 12 9 6 3 0 -3 -2 -1 1 2 3 -3