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The general form of the parabola is f(x) = a(x−p)2 + q.

Mathematics

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The general form of the parabola is f(x)=a(x−p)2+qf(x) = a(x-p)^2 + q.
The axis of symmetry is x=px=p, and the turning point (vertex) is (p,q)(p, q).
The straight line is g(x)=−2x−3g(x) = -2x - 3.
Point A(-4; 5) is on the parabola f(x)f(x) and on the line g(x)g(x).
Let's verify A(-4; 5) is on g(x)g(x): g(−4)=−2(−4)−3=8−3=5g(-4) = -2(-4) - 3 = 8 - 3 = 5. So A(-4; 5) is indeed on $g

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