Write down the coordinates of the turning point on the graph of $y = (x + 12)^2 - 7$. - Edexcel - GCSE Maths - Question 18 - 2020 - Paper 2
Question 18
Write down the coordinates of the turning point on the graph of $y = (x + 12)^2 - 7$.
Worked Solution & Example Answer:Write down the coordinates of the turning point on the graph of $y = (x + 12)^2 - 7$. - Edexcel - GCSE Maths - Question 18 - 2020 - Paper 2
Step 1
Identify the quadratic function
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Answer
We have the equation of the graph as:
y=(x+12)2−7
This is in the vertex form of a quadratic function, which is given by:
y=a(x−h)2+k
where (h,k) represents the turning point.
Step 2
Determine the turning point
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Answer
In our equation,
The value of h is −12 (from x+12, we get x−(−12))
The value of k is −7.
Therefore, the turning point is at the coordinates:
(−12,−7).
Step 3
Write down the coordinates
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Answer
The coordinates of the turning point on the graph are: