Given f, of, x, equals, minus, 3, x, squared*f*(*x*)=−3*x*2, find f, of, minus, 10*f*(−10)

Given the function \( f(x) = -3x^2 \), to find \( f(-10) \), you need to substitute \( x = -10 \) into the function.

### Step-by-Step Solution:

1. Start with the function:
   \[
   f(x) = -3x^2
   \]

2. Substitute \( x = -10 \) into the function:
   \[
   f(-10) = -3(-10)^2
   \]

3. Calculate the square of \(-10\):
   \[
   (-10)^2 = 100
   \]

4. Multiply by \(-3\):
   \[
   f(-10) = -3 \times 100 = -300
   \]

So, \( f(-10) = -300 \).

Would you like more details or have any questions? Here are some related questions you might consider:

1. What would \( f(10) \) be?
2. How does the function behave as \( x \) increases or decreases?
3. What is the value of \( f(0) \)?
4. How would the function change if the coefficient of \( x^2 \) were positive?
5. What is the general form of a quadratic function like this one?

**Tip:** Remember that squaring a negative number always results in a positive value, but the negative sign outside the square still affects the overall result.

Discover how to find f(-10) for the quadratic function f(x) = -3x^2. Follow a step-by-step solution to substitute x = -10 into the function, calculate the result, and understand the behavior of quadratic functions. Ideal for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation