If $f(x)=5x^2+3x+4$, what is the value of $f(-2)$?
To find the value of $f(-2)$, I need to substitute $x=-2$ into the function definition and simplify the expression. So, $f(-2)=5(-2)^2+3(-2)+4$. To simplify this, I need to follow the order of operations: parentheses, exponents, multiplication, addition and subtraction. First, I evaluate the parentheses and the exponents: $f(-2)=5(4)+3(-2)+4$. Next, I multiply: $f(-2)=20-6+4$. Finally, I add and subtract: $f(-2)=18$. 