Mathematics for IGCSE & O level - Graphs Of Functions (Section 3 - No. 29)
Which statements are true about the graph of y = -x² + 4x - 3?
It is a parabola that opens downward.
It crosses the y-axis at -3.
The vertex is the highest point on the graph.
The roots of the function are real and distinct.
Explanation
Since the coefficient of x² is negative, it opens downward. The y-intercept is found by setting x=0 so y=-3. The vertex is the highest point. The roots can be determined by the quadratic formula which results in two real values.
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