y - 5 = 0.5x2 + 6x - 3How many x-intercepts does the graph of this quadratic have?

Add 5 to both sides to write the quadratic as y = 0.5x² + 6x + 2. The number of x-intercepts is determined by the discriminant: b² − 4ac = 6² − 4(0.5)(2) = 32, which is positive. A positive discriminant means the graph crosses the x-axis at two points, so the correct choice is “Two x-intercepts.”

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