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Home Question Bank Math Pre Calculus Archive 2024 November 26

Pre-calculus Questions from Nov 26,2024

Browse the Pre-calculus Q&A Archive for Nov 26,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use transformations to explain how the graph of \( f \) can be found by using the graph of \( y=x^{2} \), \( f(x)=(x+2)^{2}+4 \) Which of the following explains the transformations to find the graph of \( f \) ? Select the correct choice below and, if necessary, fill in the ans A. Shifting of \( y=x^{2} \) to the right \( \square \) units and then horizontally shrinking the resulting graph by a factor of B. Shifting of \( y=x^{2} \) to the right \( \square \) units and then vertically stretching the resulting graph by a factor of \( \square \). C. Shifting the graph of \( y=x^{2} \) to the left \( \square \) units then vertically shifting the graph up \( \square \) unit(s). D. Shifting the graph of \( y=x^{2} \) to the right \( \square \) units then vertically shifting the graph down \( \square \) unit(s). Actividad Identifica los elementos importantes en las siguientes funciones - Concavidad - Intersecciones con los ejes - Eje de simetría - Vértice. 1) \( f(x)=x^{2}-1 \) 2) \( f(x)=x^{2}+4 x \) 3) \( f(x)=x^{2}+x-6 \) 4) \( f(x)=x^{2}-x+2 \) 5) \( f(x)=x^{2}+x \) 15. Un granjero tiene 40 metros de cerca para construir un corral rectangular que estará junto a un río. No necesita cercar el lado del río. ¿Cuáles deben ser la dimensiones del corral para maximizar su área? (2 aciortos Data la parabola di equazione \( y=x^{2}-4 x+3 \) Tracciane un grafico qualitativo individuando i punti di intersezione con l'asse \( x \), gli intervalli in cui è positiva (negativa) e la concavità. 24 সেমি \( \times 24 \) সেমি পরিমাপের একটি কার্ড বোর্ড থেকে গপটি ফাঁকা বাক্স তৈরি করার জন্য বোর্ডটির চারটি কোণ (corner) থেকে সমান মাপের বর্গাকার অংশ কেটে নিট্যে তারপর কাটা দিকগুলি উল্লম্বভাবে ওপর দিকে তোলা হয়। বাক্সটির আয়তন বৃহত্তম হলে তার উচ্চতা নির্ণয় করো। [CBSE'04] 3. Use the function \( f(x)=-2 x^{4}+3 x^{5}-4 x^{3}+9 x^{2}+2 x-5 \) to complete these sentences. The degree is The leading coefficient is The value of the function when \( x=2 \) is \( \sqrt {cos(x)} \) 2.- Sean \( f(x)=\ln (x+5) \) y \( f^{-1} \) la inversa de \( f \). Enton- ces el dominio de \( f^{-1} \) es 3 Construa o grálico das funeães abaixo: \( \begin{array}{ll}\text { a) } f(x)=2^{x+1} & \text { b) } f(x)=\left(\frac{1}{3}\right)^{x}\end{array} \) Calcolare il dominio della *2 punti funzione \( y=\frac{1}{x^{2}-1} \) \( -1<x<+1 \) \( x<-1 \quad v \quad x>+1 \) \( x \neq 1 \quad \wedge x \neq-1 \) \( -1 \leq x \leq+1 \) \( x \leq-1 \quad v \quad x \geq+1 \) \( x=-1 \vee x=+1 \)
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