Find the Algebraic Equation: Parabola Passing Through (4,0)

Find the corresponding algebraic representation for the function

To solve this problem, we'll follow these steps:

• Identify the graphical points where the parabola interacts with the axes.
• Determine the role of any numbers indicated along the axes, specifically for vertical shifts.
• Write the function based on these observations.

Now, let's work through each step:
Step 1: The parabola is shown as an intersection with a horizontal line labeled "4". This suggests that the parabola is shifted upwards by 4 units.
Step 2: The standard quadratic equation without shifts is $y = x^2$. Therefore, to account for a shift of 4 units upwards, we modify this to $y = x^2 + 4$.
Step 3: With this shift identified, the algebraic representation of the function is completed.

Therefore, the solution to the problem is $y = x^2 + 4$.