What is the vertex of the parabola represented by y = x^2 - 4x + 3?

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What’s inside this PDF?

Question: What is the vertex of the parabola represented by y = x^2 - 4x + 3?

Options:

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

Correct Answer: (2, -1)

Solution:

The vertex can be found using the formula x = -b/(2a). Here, a = 1, b = -4. Thus, x = 2. Plugging x back into the equation gives y = 1. So, the vertex is (2, 1).

What is the vertex of the parabola represented by y = x^2 - 4x + 3?

Practice Questions

What is the vertex of the parabola represented by y = x^2 - 4x + 3?

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

Questions & Step-by-Step Solutions

What is the vertex of the parabola represented by y = x^2 - 4x + 3?

Step 1: Identify the coefficients from the equation y = x^2 - 4x + 3. Here, a = 1 and b = -4.
Step 2: Use the formula to find the x-coordinate of the vertex: x = -b / (2a).
Step 3: Substitute the values of a and b into the formula: x = -(-4) / (2 * 1).
Step 4: Simplify the equation: x = 4 / 2 = 2.
Step 5: Now that we have the x-coordinate (2), plug it back into the original equation to find the y-coordinate: y = (2)^2 - 4(2) + 3.
Step 6: Calculate y: y = 4 - 8 + 3 = -1.
Step 7: The vertex of the parabola is (2, -1).

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What is the vertex of the parabola represented by y = x^2 - 4x + 3?

What’s inside this PDF?

What is the vertex of the parabola represented by y = x^2 - 4x + 3?

Practice Questions

Questions & Step-by-Step Solutions

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