Brogan needs to draw the graph ofÂ
Here is her graph.
Write down one thing that is wrong with Brogan's graph.
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Brogan needs to draw the graph ofÂ
Here is her graph.
Write down one thing that is wrong with Brogan's graph.
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Complete the table of values forÂ
 |  |  |  |
On the grid, draw the graph of from
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Complete the table of values forÂ
 |  |  |
On the grid, draw the graph of for values of fromÂ
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Complete the table of values forÂ
 |  |  |
On the grid, draw the graph ofÂ
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Complete the table of values forÂ
 |  |  |  |
On the grid, draw the graph of forÂ
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The graph of is drawn on the grid.
Write down the coordinates of the turning point of the graph.
Write down the roots ofÂ
Write down the value ofÂ
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The graph of is drawn on the grid.
Write down the coordinates of the turning point of the graph.
Write down estimates for the roots ofÂ
Use the graph to find an estimate forÂ
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Complete the table of values for Â
0.25 | 0.5 | 1 | 2 | 4 | 8 | |
16.25 | Â | Â | Â | Â | 8.5 |
On the grid, draw the graph of  forÂ
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Here are six graphs.
Complete the table below with the letter of the graph that could represent each given equation.
Write your answers on the dotted lines.
Equation | Graph |
.................... | |
.................... | |
.................... |
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The diagram shows part of a sketch of the curveÂ
Write down the coordinates of
Sketch the graph of forÂ
Show the coordinates of any points of intersection with the coordinate axes.
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Complete the table of values forÂ
0.5 | 1 | 2 | 3 | 4 | 5 | 6 | |
 | 6 |  | 2 |  |  | 1 |
On the grid, draw the graph of  forÂ
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Circle the point that is on the graph of
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The equation of a curve is
Circle the coordinates of the turning point.
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Sketch the graph of y = 3x
Give the value of the y-intercept.
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Shirley is asked to sketch a graph of y = 5x for x > 0
She produces the following.
The graph has two errors.
How should they be corrected?
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The graph of y = x3 − x2 − 2 is drawn on the grid.
Use the graph to solve x3 − x2 − 2 = 0.
Give your answer correct to 1 decimal place.
x = ...................................................Â
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Here is the graph of  y = x2 + x − 6.
Use the graph to solve the equation  x2 + x − 6 = 0.
x = ................. or x = ...............
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[2]
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Complete the table of values forÂ
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On the grid, draw the graph of for values of fromÂ
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Complete the table of values forÂ
 |  |  |  |  |
On the grid, draw the graph of for values of fromÂ
Use your graph to find estimates of the solutions to the equationÂ
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The diagram shows part of a sketch of the curveÂ
Write down the coordinates of the point .
Write down the coordinates of the point .
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Here are some graphs.
In the table below, match each equation with the letter of its graph.
Equation | Graph |
 | |
 | |
 | |
 |
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Complete the table of values forÂ
 |  |  |  |
On the grid, draw the graph of for values of fromÂ
Find estimates for the solutions of the equationÂ
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Complete the table of values forÂ
 |  |  |
On the grid, draw the graph of for values of fromÂ
By drawing a suitable straight line on the grid, find estimates for the solutions of
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On the grid, draw the graph ofÂ
On the grid, sketch the graph ofÂ
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Sketch the graph ofÂ
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Part of the graph of is shown on the grid.
Use the graph to find estimates for the solutions of the equation
Give your solutions correct to one decimal place.
By drawing a suitable straight line on the grid, find estimates for the solutions of the equation
Show your working clearly.
Give your solutions correct to one decimal place.
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Complete the table of values forÂ
 | 2 |  |
On the grid, draw the graph ofÂ
By drawing a suitable straight line on the grid, find estimates for the solutions of the equation
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The diagram shows the graph of forÂ
Note: Point P in the graph is from the previous question. It is not required for this question.
The equation has exactly two different solutions forÂ
Use the graph to find the two possible values of .
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Write in the formÂ
The line is the line of symmetry of the curve with equationÂ
Using your answer to part (a) or otherwise, write down an equation of .
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Circle the point that lies on the curve Â
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Here is a sketch of for values of from 0° to 360°
 is an acute angle.
Circle the value ofÂ
Circle the value of
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The number of gannets on an island is assumed to follow this exponential growth model.
N = 0.45 × 1.07x
N is the number of gannets, in thousands.
x is the number of years after 1st January 2010.
Complete the table for N = 0.45 × 1.07x.
x | 0 | 5 | 10 | 15 | 20 |
N | 0.45 | 0.63 | Â | 1.24 | Â |
Draw the graph of
Use the graph to find the year when the gannet population is predicted to reach 1000.
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Sketch the graph of forÂ
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On the grid, construct the graph ofÂ
Find estimates for the solutions of the simultaneous equations
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On the grid, draw the graph ofÂ
Hence find estimates for the solutions of the simultaneous equations
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Complete the table of values forÂ
 |  |  |  |
On the grid, draw the graph of for values of fromÂ
Solve Â
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Complete the table of values forÂ
 |  |  |  |
On the grid, draw the graph of for values of fromÂ
Solve Â
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The diagram shows the graph ofÂ
Use the graph to find estimates for the solutions of
Use the graph to find estimates for the values of that satisfy the simultaneous equations
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Construct the graph ofÂ
By drawing the line on the grid, solve the equationsÂ
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Here are four graphs.
The graphs represent four different types of function .
Match each description of the function in the table to the letter of its graph.
Description of function | Graph |
 is inversely proportional to |  |
is a trigonometrical function | Â |
is an exponential function | Â |
is directly proportional to |  |
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The graph of , where is a positive constant, is shown above.
Find the value of .
The graph of for values of from is shown above.
On the same axes, draw the graph of for values of fromÂ
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The curve has equation where
The point is the maximum point on .
Write down the coordinates of .
The curve is transformed to the curve by a translation ofÂ
Find an equation for the curve .
The curve is transformed to the curve .
The curve has equation
Describe fully the transformation that maps curve onto curve .
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The curve has equation    whereÂ
Using the axes below, sketch the curve .
On your sketch show clearly, in terms of ,
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Express in the form where andare integers.
is the curve with equation
The point is the maximum point on
Use your answer to part (a) to write down the coordinates of
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Complete the table of values for
-2 | -1 | -0.5 | 0 | 1 | 1.5 | 2 | 3 | |
 |  | 4.875 | 4 |  | -1.625 |  |  |
On the grid, draw the graph of  for values of from –2 to 3
By drawing a suitable straight line on the grid,
find estimates for the solutions of the equation
Give your solutions correct to 1 decimal place.
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Complete the table of values forÂ
–2 | |||||||
 |  |  |  |
On the grid, draw the graph ofÂ
By drawing a suitable straight line on the grid, find an estimate for the solution of the equationÂ
............................................
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The curve has equationÂ
The point is the maximum point on .
Write down the coordinates of .
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The curve has equationÂ
Using the axes below, sketch the curve .
On your sketch show clearly
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is an obtuse angle.
Which statement is true?
Tick one box.
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Circle the value of f(0°)
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Write in the form .
Sketch the graph of , showing clearly the coordinates of any turning points.
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Write  in the form .
Sketch the graph of .
Show clearly the coordinates of any turning points and the value of the -intercept.
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The graph of is drawn below.
Use the graph to solve .
The equation 2x2 + x − 4 = 0 can be solved by finding the intersection of the graph of y = 2x2 + 3x − 9  and the line y = ax + b.
Hence use the graph to solve the equation 2x2 + x − 4 = 0.
x = ............................ or x = ............................[3]
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Sketch the graph of .
Show the coordinates of any turning points.
The sketch shows part of a graph which has equation .
Find the values of and .
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