Math Problem Statement

f(x) = -x^2, find x when f(-5)

Solution

The problem you've provided is:

f(x)=x2, find x when f(5)f(x) = -x^2, \text{ find } x \text{ when } f(-5)

To solve this, we simply need to substitute x=5x = -5 into the given function f(x)=x2f(x) = -x^2.

Step-by-Step Solution:

  1. The function is f(x)=x2f(x) = -x^2.
  2. Substituting x=5x = -5 into the function:

f(5)=(5)2=(25)=25f(-5) = -(-5)^2 = -(25) = -25

Thus, f(5)=25f(-5) = -25.

Would you like more details or explanations on any specific part?

Here are 5 related questions you might find useful:

  1. What is the general form of a quadratic function?
  2. How do you find the vertex of a quadratic function like f(x)=x2f(x) = -x^2?
  3. What are the effects of negative coefficients on parabolas?
  4. Can you explain how to graph quadratic functions?
  5. What are the roots or solutions of f(x)=x2f(x) = -x^2?

Tip: When evaluating a function, always follow the order of operations (PEMDAS), particularly when dealing with negative signs and exponents.

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Math Problem Analysis

Mathematical Concepts

Functions
Substitution
Quadratic Functions

Formulas

f(x) = -x^2

Theorems

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Suitable Grade Level

Grades 9-10