The graph given is for the relation y = 2x2 + x - 1. Find the minimum value of y

Assessment: WAEC SSCE - General Mathematics - 2014 (Objective) Subject: General Mathematics

Question 1 Report


The graph given is for the relation y = 2x2 + x - 1. Find the minimum value of y

Answer Details
To find the minimum value of y for the given relation y = 2x^2 + x - 1, we need to locate the vertex of the parabolic graph. The vertex of a parabola with equation y = ax^2 + bx + c is given by the coordinates (-b/2a, c - b^2/4a). In this case, a = 2, b = 1, and c = -1. Substituting these values into the formula, we get: Vertex x-coordinate = -b/2a = -1/(2*2) = -1/4 Vertex y-coordinate = 2(-1/4)^2 + (1/4) - 1 = -1.25 Therefore, the minimum value of y is -1.25. So the correct option is (C) -1.25.
Read lesson note on Simple Operations On Algebraic Expressions (WAEC)
Read lesson note on Quadratic Equations (WAEC)
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