Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 11MathematicsRelations and FunctionsGraphs of standard functionsMedium
0 reads0 ratings0 helpful

What is the point of inflection of the graph of \(f(x)=(x+3)^3-1\)?

Answer and explanation

Correct answer: \((-3,-1)\)

The parent function \(y=x^3\) has its point of inflection at \((0,0)\). In \((x+3)^3-1\), the graph is shifted 3 units left and 1 unit down, so the new point of inflection is \((-3,-1)\). Alternatively, \(f''(x)=6(x+3)\) gives \(x=-3\), and \(f(-3)=-1\). Option B incorrectly treats \(x+3\) as a shift to the right. Exam tip: the point of inflection of \((x-h)^3+k\) is \((h,k)\).

Related tags

Standard-FunctionsCubic-GraphPoint-Of-InflectionTranslationGraph-TransformationGraphs Of Standard FunctionsRelations And FunctionsMathematics
सुधार सुझाएँ / Earn

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If f(x)=x^2 and A={1,2,3} is the domain of f, which of the following is the graph of f on A?
  2. 2Which relation represents the graph of the rule \(y=x+2\) for the inputs in the set \(A=\{1,3\}\)?
  3. 3If f(x)=3x and its domain is A={0,1,2}, which of the following is the graph of the function defined on A?
  4. 4If \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) and \(f(x)=5-x\), which of the following is the graph of \(f\)?
  5. 5What is the usual graph of the function (f(x)=x)?
  6. 6What is the graph of (f(x)=c), where (c) is a constant?
  7. 7Which shape represents the graph of (f(x)=x^2)?
  8. 8In which direction does the graph of (f(x)=-x^2) open?
  9. 9The graph of (f(x)=|x|) is symmetric about which axis?
  10. 10Through which point does the graph of f(x)=x³ pass?
Found an issue? Help improve this questionMy reports and replies

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.