The graph below shows a transformed quadratic function with its vertex marked. Which equation matches the graph?
Ag(x) = (x − 2)² + 4
Bg(x) = −(x + 2)² + 4
Cg(x) = −(x − 2)² + 4
Dg(x) = −(x − 2)² − 4
Explanation
The parabola opens downward (so the leading coefficient is negative) with vertex at (2, 4), matching vertex form g(x) = a(x − h)² + k with a < 0, h = 2, k = 4: g(x) = −(x − 2)² + 4. Opening downward with vertex above the x-axis rules out the other three sign combinations.
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