Square root functions (HSC SSCE Mathematics Extension 1): Flashcards
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Practise the cards
10 cards from this deck
What is the form of a square root function?
What is the form of a square root function?
y = √f(x), producing positive square roots only.
What is the domain of square root functions?
What is the domain of square root functions?
Defined where f(x) ≥ 0.
What is the range of square root functions?
What is the range of square root functions?
Always y ≥ 0.
How does y = √x shift vertically?
How does y = √x shift vertically?
y = √x + k shifts it up or down by k.
What does y = √(x-h) do to the graph?
What does y = √(x-h) do to the graph?
Shifts the graph left or right.
What effect does y = a√x have?
What effect does y = a√x have?
Stretches or compresses the graph vertically.
What happens with y = -√x?
What happens with y = -√x?
Reflects the graph across the x-axis.
How do square root functions apply in problems?
How do square root functions apply in problems?
They intersect with linear or quadratic equations.
Why are transformations important in graphing?
Why are transformations important in graphing?
They alter intersections and graph behavior.
What is essential for understanding square root functions?
What is essential for understanding square root functions?
Domain and range restrictions.