Graphs and Equations (HSC SSCE Mathematics Advanced): Quizzes

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Review of Translations and Reflections
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Which method works for transforming circles and ellipses?

Replacement method

To shift a graph right by 3 units, what replaces xx?

(x3)(x - 3)

What does y=f(x)+5y = f(x) + 5 do to the graph?

Shifts up 5 units

What transformation does y=f(x)y = f(-x) represent?

Reflection in y-axis

What transformation does y=f(x)y = -f(x) represent?

Reflection in x-axis

Changes inside f()f() affect which direction?

Horizontal position

What does y=f(x)y = -f(-x) represent?

180° rotation about origin

What happens to a circle's radius during shifts and reflections?

Stays the same

Why are horizontal shifts counterintuitive?

Minus shifts right, plus left

To shift a graph left by 2 units, write:

y=f(x+2)y = f(x + 2)

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