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Dubai

Functions 2

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Published in: Mathematics | Maths
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The digital handout consist of past paper questions with their solutions in line with previous lecture. The handout caters to A level students and above. I am posting video link of the handout as well

Syed A / Dubai

12 years of teaching experience

Qualification: Bachelors in Science ( Telecommunication)

Teaches: Mathematics, Statistics, MCAT, Maths, IGCSE/AS/AL, IB Exam Preparation

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  1. The Math Bender by Ad nan Zaidi FUNCTIONS (Transition Questions)
  2. 2 M th znan • zaidi A function f is defined by f(x) = x2 — 2.r + 5 for x e R. A sequence Of transformations is applied in the following order to the graph of y = f(x) to give the graph of y = g(x). Stretch parallel to the x-axis with scale factor 2 VReflection in the y-axis Stretch parallel to the y-axis with scale factor 3 Find g(x), giving your answer in the form ax2 + bx + c, where a, b and c are constants. l_te__ 5 (Cam) 34(-aÖ = [41
  3. Functions f and g are both defined for x e R and are given by f(x) = — 9, (a) Express f(x) in the form (x — + b. (b) Express g(x) in the form + + d]. [2] Math Bender by Adnen Zaidi
  4. (c) Express g(x) in the form kf(x + h), where k and h are integers. TO (d) Describe fully the two transformations that have been combined to transform the graph to the graph of y = g(x). evulleL to [4] Math Bender by Adnen Zaidi
  5. The curve y sinx is transformed to the curve y 4 singx — 300). Describe fully a sequence of transformations that have been combined, making clear the order in which the transformations are applied. —u -30 L m —3D 30 [5] Math Bender by Adnen Zaidi
  6. Y 0 y f(x) 6 0 ? 6 The diagram shows graphs with equations ) , = f(x) and y = g(x). Describe fully a sequence of two transformations which transforms the graph of ) , = f(x) to y = g(x). h Bender
  7. The diagram shows the graph of y = f(x), which consists of the two straight lines AB and BC. The lines A' B' and form the graph of y = g(x), which is the result of applying a sequence of two transformations, in either Order, to y f(x). State fully the two transformations. Chdch <cAz IL The Math Bender by : Adnan • Zaidi

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