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

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

Options:

(2, -1)
(2, -4)
(1, 2)
(3, 0)

Correct Answer: (2, -1)

Solution:

Step 1: Use the vertex formula x = -b/2a. Here, a = 1, b = -4. Step 2: x = 4/2 = 2. Step 3: Substitute x back: y = 2^2 - 4*2 + 3 = -1. Vertex is (2, -1).

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

Practice Questions

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

(2, -1)
(2, -4)
(1, 2)
(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).

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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