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The graph of $y = f(x)$ is drawn on the grid - Edexcel - GCSE Maths - Question 11 - 2017 - Paper 1

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Question 11

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The graph of $y = f(x)$ is drawn on the grid. (a) Write down the coordinates of the turning point of the graph. (b) Write down estimates for the roots of $f(x) = 0... show full transcript

Worked Solution & Example Answer:The graph of $y = f(x)$ is drawn on the grid - Edexcel - GCSE Maths - Question 11 - 2017 - Paper 1

Step 1

Write down the coordinates of the turning point of the graph.

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Answer

The turning point of the graph, also known as the vertex, is located at the coordinates

(1,3)(1, -3).

Step 2

Write down estimates for the roots of $f(x) = 0$.

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Answer

The roots of the graph can be estimated visually to be at approximately

(0.75,0)(-0.75, 0) and (2.75,0)(2.75, 0).

Step 3

Use the graph to find an estimate for $f(1.5)$.

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Answer

By observing the graph at x=1.5x = 1.5, the estimated value for f(1.5)f(1.5) is approximately

2.8-2.8.

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