Roots of quadratic — definition?
Values of x where f(x)=0.
Roots as f(x)=0 — role?
Identify x-intercepts of parabola.
Factored form — purpose?
Express quadratic using roots explicitly.
Coefficient a — how found?
Substitute known point into factored form.
Discriminant D — formula?
D = b² - 4ac.
D > 0 — roots?
Two distinct real roots.
D = 0 — roots?
One repeated real root.
D < 0 — roots?
Complex conjugate roots.
Quadratic formula — purpose?
Find solutions using D and coefficients.
Standard to vertex form — method?
Complete the square.
Vertex form — structure?
f(x) = a(x - h)^2 + k.
Vertex — coordinates?
(h, k) from vertex form.
Max/min — where?
At the vertex (h, k).
X-coordinate of vertex?
x = -b / (2a).
Inverse function — process?
Swap x and y, solve for y.
Inverse of quadratic — form?
h ± √[(x - k)/a].
Square root — simplification?
Factor out perfect squares.
Combine radicals — when?
Like radicals with same radicand.
Teste tes connaissances avec un QCM de 9 questions sur Quadratic Roots and Discriminant Mastery.
1. What are the roots of a quadratic function?
2. What is the formula for calculating the discriminant of a quadratic equation?
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