Substitute and Simplify: Given the function f(x)=−2x2+9x, we need to find the value of f(−4). This means we will substitute x with −4 in the function and simplify.Calculation: f(−4)=−2(−4)2+9(−4)
Calculate Square of −4: First, calculate the square of −4.Calculation: (−4)2=16
Multiply −2 by Square: Now, multiply −2 by the square of −4.Calculation: −2×16=−32
Multiply 9 by −4: Next, multiply 9 by −4.Calculation: 9×(−4)=−36
Add Results to Find f(−4): Finally, add the two results together to find f(−4).Calculation: f(−4)=−32−36=−68
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