Drag and drop the equation to match its corresponding parent function.

Question

Logarithmic:
Cubic:
Linear:
Cube Root:
Quadratic:
Square Root:
Exponential:
1)y=x^2
2)y=x
3)y=log_{b}x
4)y=b^x
5)y=x^3
6)y=(sq. root)x
7)y=3(sq. root)x

Answer 1

Here are the correct matches for the given parent functions:

• Logarithmic: 3) \( y = \log_{b}x \)
• Cubic: 5) \( y = x^3 \)
• Linear: 2) \( y = x \)
• Cube Root: 7) \( y = 3 \sqrt{x} \) (Note: while the coefficient 3 changes the vertical stretch, the function is still a cube root function)
• Quadratic: 1) \( y = x^2 \)
• Square Root: 6) \( y = \sqrt{x} \)
• Exponential: 4) \( y = b^x \)

Let me know if you need any more questions or clarifications!