Mathematics (9-1) - 0980 CIE

Sketching Curves

Gbogbo ọrọ náà

Every type of equation has a signature shape when you draw it: a straight line, a smooth U-shaped parabola, a wave, a curve that races away. Recognising these shapes lets you picture an equation at a glance and sketch it quickly without plotting dozens of points.

In this lesson you will recognise, sketch and interpret the graphs of linear and quadratic functions, and (at Extended) cubic, reciprocal and exponential functions, picking out their key features such as intercepts and turning points.

Ebumnobi

  1. Recognise, sketch and interpret graphs of the following functions: (a) linear (b) quadratic.
  2. Recognise, sketch and interpret graphs of the following functions: (a) linear (b) quadratic (c) cubic (d) reciprocal (e) exponential. (Extended only)

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

A sketch shows the behaviour of a function instantly: where it crosses the axes, where it turns, and how it grows. This visual understanding supports solving equations and reading real data.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Sketching Curves. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. What shape is the graph of y = x^2 - 4? A. A straight line B. A parabola C. An S-shape D. A circle Answer: B
  2. Where does y = x^2 - 4 cross the x-axis? A. x = -4 and x = 4 B. x = -2 and x = 2 C. x = 0 only D. x = 4 only Answer: B
  3. What is the vertex of y = x^2 - 4? A. (0, 0) B. (0, 4) C. (0, -4) D. (-4, 0) Answer: C
  4. The graph of y = mx + c is always: A. a parabola B. a straight line C. an S-shape D. a curve Answer: B
  5. If a is negative in y = ax^2 + bx + c, the parabola: A. opens upwards B. opens downwards C. is a straight line D. has no vertex Answer: B

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Rue ajuju ndi a n'ime ngwa ahu

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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Sketching Curves? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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