Mathematics for IGCSE & O level - Graphs Of Functions (Section 2 - No. 25)
Which of the following are correct concerning the graph of y = x² - 4x + 4?
It opens upwards
The vertex is at (2, 0)
The function has two distinct real roots.
The y-intercept is -4
Explanation
Since the coefficient of x² is positive, it opens upwards. The roots can be found by setting y=0 and factoring the equation: (x-2)² = 0 so the vertex (2,0). The y-intercept is where x=0, or y=4.
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