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Mathematical Methods · Unit 1 · Surds and quadratic functions · Quadratic functions

Sketch the graphs of quadratic functions, with or without technology.

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Question 1

Consider the quadratic function \( f(x) = -2x^2 + 8x + 10 \). (a) Determine the coordinates of the vertex. (1 mark) (b) Find the \( x \)-intercepts, expressing your answers in exact form. (1 mark) (c) State the coordinates of the \( y \)-intercept. (1 mark) (d) Hence, state the key features of the graph including the axis of symmetry, domain, and range. Explain all reasoning used. (1 mark)

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