GCSE Maths Practice: graph-transformations

Question 2 of 11

This question tests basic graph transformations. You need to identify how subtracting a number affects a parabola.

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\( \begin{array}{l}\text{Which graph shows the transformation of } y = x^2 \\ \text{into } y = x^2 - 4?\end{array} \)

Choose one option:

Focus on vertical shifts first. Check which graph has the vertex 4 units lower. Ignore horizontal moves for this question.

Subtracting a constant from a function moves the graph vertically down by that amount. The shape and width of the parabola do not change. Recognising transformations helps in sketching graphs quickly.