Brogan needs to draw the graph of
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 of
Here is her graph.
Write down one thing that is wrong with Brogan's graph.
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Complete the table of values for
On the grid, draw the graph of from
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Complete the table of values for
On the grid, draw the graph of for values of from
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Complete the table of values for
On the grid, draw the graph of
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Complete the table of values for
On the grid, draw the graph of for
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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 of
Write down the value of
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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 of
Use the graph to find an estimate for
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Complete the table of values for
0.25 | 0.5 | 1 | 2 | 4 | 8 | |
16.25 | 8.5 |
On the grid, draw the graph of for
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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 curve
Write down the coordinates of
Sketch the graph of for
Show the coordinates of any points of intersection with the coordinate axes.
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Complete the table of values for
0.5 | 1 | 2 | 3 | 4 | 5 | 6 | |
6 | 2 | 1 |
On the grid, draw the graph of for
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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 = ...................................................
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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 for
On the grid, draw the graph of for values of from
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Complete the table of values for
On the grid, draw the graph of for values of from
Use your graph to find estimates of the solutions to the equation
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The diagram shows part of a sketch of the curve
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 for
On the grid, draw the graph of for values of from
Find estimates for the solutions of the equation
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Complete the table of values for
On the grid, draw the graph of for values of from
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 of
On the grid, sketch the graph of
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Sketch the graph of
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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 for
2 |
On the grid, draw the graph of
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 for
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 for
Use the graph to find the two possible values of .
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Write in the form
The line is the line of symmetry of the curve with equation
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
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Here is a sketch of for values of from 0° to 360°
is an acute angle.
Circle the value of
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 | 1.24 |
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 for
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On the grid, construct the graph of
Find estimates for the solutions of the simultaneous equations
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On the grid, draw the graph of
Hence find estimates for the solutions of the simultaneous equations
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Complete the table of values for
On the grid, draw the graph of for values of from
Solve
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Complete the table of values for
On the grid, draw the graph of for values of from
Solve
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The diagram shows the graph of
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 of
By drawing the line on the grid, solve the equations
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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 | |
is an exponential function | |
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 from
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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 of
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 where
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 for
–2 | |||||||
On the grid, draw the graph of
By drawing a suitable straight line on the grid, find an estimate for the solution of the equation
............................................
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The curve has equation
The point is the maximum point on .
Write down the coordinates of .
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The curve has equation
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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