Math Problem Statement
f(6)=−3x2+6x+1,
Solution
It seems you want to evaluate the function at .
Let's calculate :
First, calculate :
Now multiply by :
Next, calculate :
Now, add these results together along with the constant term :
So, .
Would you like more details on this calculation, or do you have any other questions?
Here are 5 related questions to consider:
- How would you find the roots of the function ?
- What is the vertex of the parabola represented by the function ?
- How does changing the coefficient of in the function affect the shape of the parabola?
- Can you determine the axis of symmetry for the function ?
- What is the y-intercept of the function ?
Tip: When evaluating a function, always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
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Math Problem Analysis
Mathematical Concepts
Quadratic Equations
Function Evaluation
Order of Operations
Formulas
Quadratic equation formula ax^2 + bx + c
Order of operations (PEMDAS)
Theorems
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Suitable Grade Level
Grades 9-12