Alerts Wishlist Cart

For the function f(x) = -x^2 + 4x + 1, find the x-coordinate of the vertex. (202

Practice Questions

Q1
For the function f(x) = -x^2 + 4x + 1, find the x-coordinate of the vertex. (2023)
  1. 2
  2. 4
  3. 1
  4. 3

Questions & Step-by-Step Solutions

For the function f(x) = -x^2 + 4x + 1, find the x-coordinate of the vertex. (2023)
  • Step 1: Identify the coefficients a, b, and c from the function f(x) = -x^2 + 4x + 1. Here, a = -1, b = 4, and c = 1.
  • Step 2: Use the formula for the x-coordinate of the vertex, which is -b/(2a).
  • Step 3: Substitute the values of b and a into the formula: -b/(2a) = -4/(2*-1).
  • Step 4: Calculate the denominator: 2 * -1 = -2.
  • Step 5: Now calculate -4 / -2, which equals 2.
  • Step 6: The x-coordinate of the vertex is 2.
  • Quadratic Functions – Understanding the standard form of a quadratic function and how to find the vertex using the formula -b/(2a).
  • Vertex of a Parabola – Identifying the vertex of a parabola represented by a quadratic function and its significance in graphing.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely