Edexcel IGCSE Maths
Topic questions Pure mathematics Quadratic graphs
11 questions · 48 marks · about 1 hour
Also involves Cubic, reciprocal and exponential graphs
Here are five graphs.
Write down the letter of the graph that could have the equation y 
5 
x2
Write down the letter of the graph that could have the equation y = 2x3
Write 28 
24x 
6x2 in the form a 
b(x 
c)2 where a, b and c are integers.
On the axes below, sketch the graph of y 28 
24x 6x2
Show clearly the coordinates of the turning point and the coordinates of the point of intersection of the graph with the y-axis.
Complete the table of values for y = x2 – x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | 2 | –4 |
On the grid below, draw the graph of y = x2 – x – 4 for values of x from –3 to 3
–3 –2 –1 O 1 2 3 x
Also involves Substitution into formulae
Complete the table of values for y = x2 – x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | 2 | –4 |
On the grid below, draw the graph of y = x2 – x – 4 for values of x from –3 to 3
–3 –2 –1 O 1 2 3 x
find the value of p
The line with equation y = k is a tangent to the curve with equation y = x2 – 
Find the value of k
Complete the table of values fory = x2 – 4x + 3
| x | –2 | –1 | 0 | 1 | 2 | 3 | 4 |
| y | 8 | 3 | 0 |
On the grid, draw the graph ofy = x2 – 4x + 3 for values of x from –2 to 4
–2 –1 O 1 2 3 4 x
Also involves Rearranging formulae
Use the graph to find estimates for the solutions of the equation 2x2 − 4x − 1 = 0 Give your solutions correct to one decimal place.
By drawing a suitable straight line on the grid, find estimates for the solutions of the
the coordinates of any points of intersection of C with the coordinate axes,
the coordinates of the turning point.
Complete the table of values for y = x2
x
On the grid, draw the graph of y = x2
x í 1 for all values of x from í2 to 4
Complete the table of values for y = x2x
On the grid, draw the graph of y = x2x í 1 for all values of x from í2 to 4
Complete the table of values for y = 1 + 5x
x2
| x |  | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| y | 1 | 7 | 7 | 1 |
On the grid, draw the graph of y = 1 + 5x
x2 for values of x from í1 to 6
Memes
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