Completing the Square with Graphs
For each of the quadratics below. Draw the parabolas and hence find
the roots and the minimum point.
a) Draw the graph of x2 + 4x + 3 for -4 ≤ 𝑥 ≤ 0
b) Solve x2 + 4x + 3 = 0
c) What is the minimum point on the curve: y = x2 + 4x + 3
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Completing the Square with Graphs
For each of the quadratics below. Draw the parabolas and hence find
the roots and the minimum point.
a) Draw the graph of x2 - 2x - 8 for -2 ≤ 𝑥 ≤ 4
b) Solve x2 - 2x - 8 = 0
c) What is the minimum point on the curve: y = x2 - 2x - 8
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Completing the Square with Graphs
For each of the quadratics below. Draw the parabolas and hence find
the roots and the minimum point.
a) Draw the graph of 2x2 + 7x + 6 for -3 ≤ 𝑥 ≤ -0.5
b) Solve 2x2 + 7x + 6 = 0
c) What is the minimum point on the curve: y = 2x2 + 7x + 6
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Completing the Square with Graphs
For each of the quadratics below. Draw the parabolas and hence find
the roots and the minimum point.
a) Draw the graph of 2x2 - 6x + 3 for 0 ≤ 𝑥 ≤ 3
b) Complete the square to solve: 2x2 - 6x + 3 = 0
c) What is the minimum point on the curve: y = 2x2 - 6x + 3
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