Edexcel GCSE Maths
Topic questions Pure mathematics Quadratic graphs
18 questions · 67 marks · about 1.5 hours
Complete the table of values for y = x2 + x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 |
| y | 2 | –4 |
On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to 2
Write down the coordinates of the turning point of the graph of y = x2 + x – 4
Complete the table of values for y = x2 + x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 |
| y | 2 | –4 |
On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to 2
Write down the coordinates of the turning point of the graph of y = x2 + x – 4
Sketch the graph of
showing the coordinates of the turning point, in terms of p, and the coordinates of the intercept with the y-axis. You must show all your working.
20The curve C has equation y = 2x2 – 12x + 7 Find the coordinates of the turning point on C.
Write x2 – 8x + 3 in the form (x – a)2 – bwhere a and b are integers.
Hence, write down the coordinates of the turning point on the graph
Solve 7x2 + 8x – 5 = 0 Give your solutions correct to 3 significant figures.
Alex has to find the solutions of the quadratic equation 3k2 + 10k – 8 = 0 Here is his working and answer. (3 k – 2)(k + 4) = 0 k = 2 or k = –4
What mistake has Alex made?
26Here is the graph of y = x2 – 2x – 2
Write down the coordinates of the turning point on the graph of y = x2 – 2x – 2
Write down an estimate for one of the roots of x2 – 2x – 2 = 0
Here is the graph of y = x2 – 2x – 2
Write down the coordinates of the turning point on the graph of y = x2 – 2x – 2
Write down an estimate for one of the roots of x2 – 2x – 2 = 0
24Here is the graph of y = x2 − 6x + 4
Write down the y intercept of the graph of y = x2 − 6x + 4
Write down the coordinates of the turning point of the graph of y = x2 − 6x + 4
Use the graph to find estimates for the roots of x2 − 6x + 4 = 0
Here is the graph of y = x2 − 6x + 4
Write down the y intercept of the graph of y = x2 − 6x + 4
Write down the coordinates of the turning point of the graph of y = x2 − 6x + 4
Use the graph to find estimates for the roots of x2 − 6x + 4 = 0
21The equation of a curve is y = 4x2 − 56x The curve has one turning point. By completing the square, show that the coordinates of the turning point are (7, −196) You must show all your working.
22Find the coordinates of the turning point on the curve with equation y = 9 + 18x – 3x2 You must show all your working.
17Write down the coordinates of the turning point on the graph of y = (x + 12)2 – 7
Also involves Completing the square
Sketch the graph of
showing the coordinates of the turning point and the exact coordinates of any intercepts with the coordinate axes.
Here is the graph of y = x2 – 2x – 3
Write down the coordinates of the turning point on the graph of y = x2 – 2x – 3
Use the graph to find the roots of the equation x2 – 2x – 3 = 0
Also involves Completing the square
Given that x2 – 6x + 1 = (x – a)2 – b for all values of x,
find the value of a and the value of b.
Hence write down the coordinates of the turning point on the graph of y = x2 – 6x + 1
Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b where a and b are integers.
The points (0, −5) and (5, 0) lie on the curve.
Find the coordinates of the turning point of the curve.
Complete this table of values for y = x2 + x – 4
| x | –3 | –2 | –1 | 0 | 1 | 2 | 3 |
| y | –2 | –4 | –2 |
On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to 3
Use the graph to estimate a solution to x2 + x – 4 = 0
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
Mum 💖
did you do your maths homework sweetie?? 🥰
yes I solved for x
proud of you!!!
📱 Screen time this week · TikTok6h 7m
Maths starter pack