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Finding surface of a sphere and writing value in standard form

Write a quadratic in completed square form. Coefficient of x^2 is 1.

A graph is given with one intercept (negative) and a vertex (positive x and y) and from this students should be able to ascertain the axis of symmetry and equation (given that the leading coefficent of x is -1)

Finding parameters of a factorised quadratic based on x-intercepts at vertex. Function has one intercept at origin and one at a positive integer value. Constant multiplier is randomised and requires vertex in order to calculate.

Identify Real and Imaginary parts of a complex number

Reinforcing definition of i

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Instructional "drill" exercise to emphasize the method.

En Teoría de la Información, dada la matriz conjunta de un canal 2x2 P(ai,bj) obtiene la matriz del canal P(bj/ai)