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name the parent function. cubic cube root quadratic square root

Question

name the parent function. cubic cube root quadratic square root

Explanation:

Brief Explanations

The graph shown starts at the origin (0,0) and increases slowly, which matches the shape of the square root function \( y = \sqrt{x} \). The cubic function (\( y = x^3 \)) has a different shape (passes through the origin but has a steeper and more curved increase/decrease), the cube root function (\( y=\sqrt[3]{x} \)) is defined for negative \( x \) and has a different curve, and the quadratic function (\( y = x^2 \)) is a parabola opening upwards. So the parent function here is the square root function.

Answer:

D. square root