What is the x-coordinate of the vertex of f(x) = 3x^2 - 5x + 2?

Get ready for the Midpoint Summative Exam! Comprehensive flashcards and multiple choice questions await, with hints and detailed explanations. Excel on your test day!

Multiple Choice

What is the x-coordinate of the vertex of f(x) = 3x^2 - 5x + 2?

Explanation:
The x-coordinate of the vertex comes from the axis of symmetry of a parabola in standard form, which is x = -b/(2a). For f(x) = 3x^2 - 5x + 2, a = 3 and b = -5, so x = -(-5)/(2·3) = 5/6. This value is where the parabola’s graph is symmetric and where the vertex sits; since a is positive, that point is the minimum. So the x-coordinate of the vertex is 5/6.

The x-coordinate of the vertex comes from the axis of symmetry of a parabola in standard form, which is x = -b/(2a). For f(x) = 3x^2 - 5x + 2, a = 3 and b = -5, so x = -(-5)/(2·3) = 5/6. This value is where the parabola’s graph is symmetric and where the vertex sits; since a is positive, that point is the minimum. So the x-coordinate of the vertex is 5/6.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy