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I see that you've uploaded an image containing math problems. Here’s a breakdown of the two questions in the image:

**Problem 6:**
The function is \( y = x^2 + 2x - 1 \), and the interval is \( -2 \leq x \leq 1 \). You are asked to find the maximum and minimum values of this function within the given interval.

**Problem 7:**
The function is \( y = 2x^2 - 12x + c \), and the interval is \( -4 \leq x \leq 1 \). You are tasked to determine the value of the constant \( c \) such that the maximum value of the function is 10. Then, you are asked to find the minimum value of the function for that \( c \).

Would you like me to solve these problems step by step? Let me know if you need further clarification or more details! 

Here are 5 related questions to consider:
1. How do you find the maximum or minimum of a quadratic function?
2. What role does the derivative play in finding extrema (max/min) of functions?
3. How would you check whether a given point is a maximum or minimum for a quadratic function?
4. Can the constant \( c \) affect both the maximum and minimum values in Problem 7?
5. How would changing the interval in these problems affect the maximum and minimum values?

**Tip:** The vertex of a quadratic function provides key insights into its maximum or minimum.

Find the maximum and minimum values for the function y = x^2 + 2x - 1 over the interval -2 <= x <= 1. Additionally, find the value of constant c such that the maximum value of the function y = 2x^2 - 12x + c over the interval -4 <= x <= 1 is 10, and determine the corresponding minimum value.

This problem involves solving quadratic functions over specific intervals to find maximum and minimum values. It also includes determining a constant in a function so that a specified maximum value is reached. Suitable for Grades 9-11, this problem reviews key algebraic concepts and techniques.

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