Equations in the TURNING POINT form 𝒚𝒚 = (𝒙𝒙 + 𝒑𝒑)𝟐𝟐 + 𝒒𝒒
Given: 𝑓𝑓(𝑥𝑥) = (𝑥𝑥 + 1)2 − 4
1.1 Write down the turning point of 𝑓𝑓.
1.2 Determine the 𝑥𝑥-intercepts of f.
1.3 Determine the coordinates of the 𝑦𝑦-intercept of f.
1.4 Draw the graph of f. Clearly show the turning point and intercepts with the axes.
1.5 Use your graph to answer the following questions:
1.5.1 Give the range of 𝑓𝑓.
1.5.2 For which values of 𝑥𝑥 will
(a) 𝑓𝑓(𝑥𝑥) > 0
(b) 𝑓𝑓 ′ (𝑥𝑥) > 0
1.5.3 Determine the equation of ℎ where ℎ is the graph after 𝑓𝑓 moved 1 unit to
the right.
1.5.4 Write down the turning point for 𝑔𝑔 if 𝑔𝑔 is the reflection of 𝑓𝑓 in the 𝑥𝑥 −axis.
Grade 12 Tutoring Programme: MATHEMATICS 4
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