Question

identify the parent function of each of the following graphs:
graph a:
graph b:
graph c:
graph d:
choose
quadratic function
absolute value function
exponential function
cubic function
cube root function
square root function
graph a
choose

Explanation:

• Graph A: Matches the shape of $y=\sqrt{x}$, which starts at the origin and increases with a decreasing slope, restricted to non-negative x-values.
• Graph B: Shows a decreasing curve that approaches a horizontal asymptote, characteristic of an exponential decay parent function $y=b^x$ where $0
• Graph C: Has the symmetric, S-shaped curve of the cube root parent function $y=\sqrt[3]{x}$, defined for all real x.
• Graph D: Forms a U-shaped parabola, the signature of the quadratic parent function $y=x^2$.

Answer:

Graph A: Square Root Function
Graph B: Exponential Function (Decay)
Graph C: Cube Root Function
Graph D: Quadratic Function