My Learning Cart

What is the vertex of the quadratic function y = x^2 - 4x + 3?

Practice Questions

Q1
What is the vertex of the quadratic function y = x^2 - 4x + 3?
  1. (2, -1)
  2. (2, -4)
  3. (1, 2)
  4. (3, 0)

Questions & Step-by-Step Solutions

What is the vertex of the quadratic function y = x^2 - 4x + 3?
Correct Answer: (2, -1)
  • Step 1: Identify the coefficients a and b from the quadratic function y = x^2 - 4x + 3. Here, a = 1 and b = -4.
  • Step 2: Use the vertex formula x = -b / (2a) to find the x-coordinate of the vertex. Substitute b and a: x = -(-4) / (2 * 1).
  • Step 3: Calculate the value: x = 4 / 2 = 2. This is the x-coordinate of the vertex.
  • Step 4: Substitute x back into the original equation to find the y-coordinate. Calculate y = 2^2 - 4*2 + 3.
  • Step 5: Simplify the equation: y = 4 - 8 + 3 = -1. This is the y-coordinate of the vertex.
  • Step 6: Combine the x and y coordinates to get the vertex: (2, -1).
No concepts available.
School
School
College
College
Degree
Degree
Competitve
Competitve
Skills
Skills
Soulshift Feedback ×

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

Not likely Very likely