Which type of parent function is 𝑓(𝑥)=𝑥2f(x)=x 2 ?A.Square rootB.QuadraticC.Cube rootD.LinearSUBMITarrow_backPREVIOUS
Question
Which type of parent function is 𝑓(𝑥)=𝑥²?
A. Square root
B. Quadratic
C. Cube root
D. Linear
SUBMIT
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Solution
The type of parent function for 𝑓(𝑥)=𝑥^2 is B. Quadratic.
Here's why:
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A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the family.
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For 𝑓(𝑥)=𝑥^2, the graph is a parabola. This is the characteristic shape of quadratic functions.
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Therefore, 𝑓(𝑥)=𝑥^2 is a quadratic function.
So, the answer is B. Quadratic.
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