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Topics
Functions and their graphs
Identifying curves and equations
Polynomial curve sketching
Use graph of y=f(x) to sketch f(x) +k and y = f(x-a)
Practice
Transformations of functions
Graphs and vertical translations
Stretches, Compressions and Symmetry
Mixed Graphs I (linear, quad, exp, circles)
Mixed graphs II (linear, quad, cubic, 1/x)
Mixed Graphs III (quad, exp, cubic, 1/x)
Asymptotes and discontinuities
Number of solutions (from a graph)
Domains (graphs and equations)
Interpreting key features of non-linear graphs
Modelling non-linear relationships
Interpolation and extrapolation of information from non-linear graphs
Graphing continuous and discontinuous functions
Graphing curves using graphic calculators
Applications of polynomials
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CanadaON
Grade 12

Use graph of y=f(x) to sketch f(x) +k and y = f(x-a)

Lesson
Practice
Lesson

Outcomes

12F.C.1.6

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x^3 and f(x) = x^4

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