Which of the following expressions represents the vertex of the quadratic equati

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Question: Which of the following expressions represents the vertex of the quadratic equation y = ax^2 + bx + c?

Options:

Correct Answer: (-b/2a, f(-b/2a))

Solution:

The vertex of the quadratic equation is given by the point (-b/2a, f(-b/2a)).

Which of the following expressions represents the vertex of the quadratic equation y = ax^2 + bx + c?

Which of the following expressions represents the vertex of the quadratic equation y = ax^2 + bx + c?

Step 1: Identify the quadratic equation in the form y = ax^2 + bx + c.
Step 2: Recognize that the vertex of a parabola represented by this equation can be found using a specific formula.
Step 3: The x-coordinate of the vertex is calculated using the formula -b/(2a).
Step 4: To find the y-coordinate of the vertex, substitute the x-coordinate (-b/(2a)) back into the original equation to get f(-b/(2a)).
Step 5: Combine the x and y coordinates to express the vertex as the point (-b/(2a), f(-b/(2a))).

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