Graph Transformations (AQA GCSE Maths): Quizzes

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Graph transformations
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What does the notation f(x)f(x) represent in mathematics?

Shorthand for any function involving x

In the transformation y=f(x)+5y = f(x) + 5, which direction does the graph move?

Up 5 units

In a vertical translation y=f(x)+ay = f(x) + a, which coordinates change?

Only y-coordinates

In y=f(x3)y = f(x - 3), which direction does the graph move?

Right 3 units

If point (2,2)(2, 2) is on y=f(x)y = f(x), where is it on y=f(x)+5y = f(x) + 5?

(2,7)(2, 7)

Which transformation reflects a graph across the x-axis?

y=f(x)y = -f(x)

Which transformation reflects a graph across the y-axis?

y=f(x)y = f(-x)

If point (4,3)(4, 3) is on y=f(x)y = f(x), where is it on y=f(x)y = f(-x)?

(4,3)(-4, 3)

If point (4,3)(4, 3) is on y=f(x)y = f(x), where is it on y=f(x2)+1y = f(x - 2) + 1?

(6,4)(6, 4)

What stays constant in all graph transformations?

The shape of the graph

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