To approximate the turning points of a graph, we'll need the following information:

1. The function that describes the graph (e.g., a polynomial or another type of function).
2. A method to find the coordinates where the slope of the function changes from positive to negative (for maximum) or from negative to positive (for minimum).

Here’s a general outline of how turning points are determined:

1. Differentiate the function: Find the first derivative of the function, $f'(x)$.
2. Set the derivative to zero: Solve $f'(x) = 0$ to find the x-values where the slope of the function is zero.
3. Second derivative test (optional): Use $f''(x)$ (the second derivative) to determine the concavity at those x-values:
   • If $f''(x) > 0$, the graph is concave up, indicating a local minimum.
   • If $f''(x) < 0$, the graph is concave down, indicating a local maximum.
4. Evaluate the function: For each x-value where $f'(x) = 0$, substitute back into the original function to get the corresponding y-values.
5. Round the results to the nearest hundredth.

If you have a specific function or graph, please provide it (either as a photo or text), and I can help calculate the turning points precisely.

Would you like more details or have any specific questions?

Here are 5 related questions to consider:

1. What is the difference between local maxima and minima?
2. How do first and second derivatives help in finding turning points?
3. Can a graph have turning points where the derivative does not equal zero?
4. How does concavity relate to turning points in a graph?
5. Why is rounding to the nearest hundredth important in approximations?

Tip: Always verify the nature of a turning point using the second derivative to confirm if it's a maximum or minimum!