It appears you've uploaded an image of a math problem involving graphs, likely focusing on quadratic or polynomial functions. I'll extract the details and solve it step by step.

Let me take a closer look at the content to better understand the problem.The image displays a mathematical problem involving a graph, likely representing a quadratic function. There's also a section asking to select the correct form of the equation from a list of options, which might relate to the vertex or standard form of the parabola.

Here’s a breakdown based on what I can see:

• The graph shows a parabola opening upwards, suggesting it represents a quadratic function.

• The question might be asking for the correct equation of the parabola, and a few options are listed:

  • $y = x^2 + 4$
  • $y = x^2 - 4$
  • $y = -x^2 + 4$
  • $y = -x^2 - 4$

• Based on the graph, it seems like the correct equation could be related to a positive quadratic function because the parabola opens upwards.

Would you like me to analyze more details from the image to confirm the specific equation or clarify further steps?

Here are some relative questions to expand this:

1. Do you want a more detailed explanation of how to determine the quadratic equation from the graph?
2. Do you need clarification on how the vertex form of a quadratic function works?
3. Would you like me to explain the difference between standard form and vertex form of quadratic equations?
4. Are you familiar with how to determine the direction a parabola opens (upwards or downwards)?
5. Do you want more practice questions on graphing quadratic functions?

Tip: Remember, the direction of the parabola (whether it opens upwards or downwards) is determined by the sign of the coefficient of $x^2$ in the equation.