Questions and Answers
Write the function of a square root function given the following transformations from the parent function 𝑓(𝑥) = 𝑥 : Reflected across the x-axis Vertical compression by a factor of 1/4 Horizontal shift of 2 units left Vertical shift of 5 units down
𝑓(𝑥) = – 1/4 𝑥 + 2 − 5
Write the function of a square root function given the following transformations from the parent function 𝑓(𝑥) = 𝑥 : Vertical stretch by a factor of 2 Horizontal shift of 3 units right Vertical shift of 6 units up
𝑓(𝑥) = 2 𝑥 − 3 + 6
What is the equation of the parent function for a square root function?
𝑓(𝑥) = 𝑥
What transformation occurs when a square root function is reflected across the x-axis?
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What transformation occurs when a square root function is shifted 4 units to the right?
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