GCSE Maths Practice: graphs-of-quadratic-functions

Question 5 of 10

Choose the correct quadratic equation given its vertex and opening direction.

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\( \text{Which of these equations has vertex at } (1, -2) \text{ and opens downward?} \)

Select all correct options:

\( y = -(x - 1)^2 - 2 \) \( y = (x - 1)^2 - 2 \) \( y = -(x + 1)^2 + 2 \) \( y = x^2 - 2 \)

Identify the vertex, use vertex form, then choose negative a for downward opening.

Vertex form: \(y = a(x - h)^2 + k\). Downward opening requires \(a < 0\).