https://file.aiquickdraw.com/mathbot/file/17265823860578zlm02vt.jpg

The problem states that:

\[
p(x) = 2(x^2 - 13) + 15
\]
and asks for the value of \( p(7) \).

Let's compute \( p(7) \) by substituting \( x = 7 \) into the given equation.

\[
p(7) = 2(7^2 - 13) + 15
\]

First, calculate \( 7^2 \) and simplify the expression.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can walk you through the process step by step:

1. Start with \( p(7) = 2(7^2 - 13) + 15 \).
2. Compute \( 7^2 \), which is 49.
3. Then, subtract 13 from 49 to get 36.
4. Multiply 36 by 2, resulting in 72.
5. Finally, add 15 to 72, which gives you 87.

Therefore, \( p(7) = 87 \).

Would you like more details, or have any other questions?

Here are 5 related questions:
1. What is the general form of a quadratic equation?
2. How does substitution work in evaluating functions?
3. What is the vertex form of a quadratic function?
4. How can you determine the axis of symmetry for a quadratic function?
5. What are the properties of a parabola?

**Tip:** When substituting values into a function, carefully follow the order of operations (PEMDAS).

If p(x) = 2(x^2 - 13) + 15, what is the value of p(7)?

Learn how to evaluate the function p(7) for the quadratic expression p(x) = 2(x^2 - 13) + 15 using substitution. This problem involves basic algebraic concepts and substitution properties. Suitable for students in Grades 8-10.

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