Math Problem Statement
Given f, of, x, equals, minus, 3, x, squaredf(x)=−3x2, find f, of, minus, 10f(−10)
Solution
Given the function , to find , you need to substitute into the function.
Step-by-Step Solution:
-
Start with the function:
-
Substitute into the function:
-
Calculate the square of :
-
Multiply by :
So, .
Would you like more details or have any questions? Here are some related questions you might consider:
- What would be?
- How does the function behave as increases or decreases?
- What is the value of ?
- How would the function change if the coefficient of were positive?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Formulas
Quadratic equation formula ax^2 + bx + c = 0
Theorems
None
Suitable Grade Level
Grades 9-12