Identify the parent function of the equation below.

Answer:y = x² ⇒ answer CStep-by-step explanation:* Lets explain the problem∵ The function is y = 1/2 x² + 3 , that means the parent function is   transformed by some transformation- If the parent function is y = x²- y = x² is a quadratic function represented graphically by upward  parabola with vertex (0 , 0)∵ y = x² changed to y = 1/2 x² that means we multiply each   y-coordinates of the points on the graph of the function by 1/2 ∴ The graph of the function is  compressed vertically by scale    factor 1/2 - That means the graph is squeezing toward the x-axis∵ y = 1/2 x² changed to y = 1/2 x² + 3 that means we add each   y-coordinates of the points on the graph of the function by 3∴ The function translated 3 units up- That means the vertex of the parabola changed to (0 , 3)∴ The new function is y = 1/2 x² + 3* The parent function of y = 1/2 x² + 3 is y = x²# Look to the attached graph for more understand- y = x² ⇒ the red graph (parent function)- y = 1/2 x² + 3 ⇒ the blue graph