CommonGraphs - 2-masala yechimi | MathModel.uz

1.10-bo'lim : Umumiy grafiklar

2. Grafik kalkulyatordan foydalanmasdan $f\left( x \right) = \left| {x - 3} \right|$ grafigini chizing.

Yechim

Asosiy algebraik o'zgarishlarni eslang. Agar biz $g\left( x \right)$ grafigini bilsak, $g\left( {x + c} \right)$ grafigi oddiygina $g\left( x \right)$ ning grafigi, agar $c < 0$ bo'lsa, $c$ birliklari bilan o'ngga siljigan yoki $c > 0$ bo'lsa, $c$ birliklari bilan chapga siljigan.

Shunday qilib, bizning holatlarimizda $g\left( x \right) = \left| x \right|$, biz buni ko'rishimiz mumkin,

\[f\left( x \right) = \left| {x - 3} \right| = g\left( {x - 3} \right)\]

va shuning uchun bizdan eskiz qilishimiz so'ralayotgan grafik mutlaq qiymat funksiyasining 3 birlikka o'ngga siljigan grafigi.

Mana $f\left( x \right) = \left| {x - 3} \right|$ grafigi va esda tutingki, transformatsiyani ko'rishga yordam berish uchun biz $g\left( x \right) = \left| x \right|$ grafigida ham chizganmiz.

$The graph of $f\left( x \right) = \left| {x - 3} \right|$, drawn as a solid red curve, along with the graph of $g\left( x \right) = \left| x \right|$, drawn as a dashed gray curve. Both are V shapes that open upward. The vertex of $g\left( x \right)$ is at the origin and the vertex of $f\left( x \right)$ is at (3,0), so the graph of $f\left( x \right)$ is the graph of $g\left( x \right)$ shifted right 3 units.$