Catholic Junior College
Infer f(x) from f(|x|) and f'(x)
Open question & worked solutionFree practice / JC2 H2 Maths Prelim
Choose a question, attempt it on paper, then compare your working with the step-by-step solution.
Real 2025 JC Preliminary Examination Graphs & Transformations questions from H2 Mathematics (9758), each with a full worked solution and examiner notes. These are the same papers we work through in our JC H2 Maths Crash Course.
Select a question to see the full problem and solution.
Infer f(x) from f(|x|) and f'(x)
Parametric curve and symmetry
Infer f(x) from f'(x) and |f(x)|
Translate, reciprocal and modulus
Rational curve, ellipse and volume
Transformation to 1/f(x)
Parametric and hyperbola
Hyperbola, circle and periodic function
Logarithmic transformations
Reciprocal and transformation description
Ellipse, normal and volume
Rational curve and oblique asymptote
f(a-x), |g(x)| and g(|x|)
Parametric, normals and intersection
Transformations and graph sketching
Reflection + stretch; graph sketch
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