### Instruction: If $y = 8 - 5x +4x^2$, what is the value of $y$ when $x=-2$?### Response: This is a problem where I need to substitute the value of $x$ into the equation for $y$ and simplify.
I start by replacing every $x$ in the equation with $-2$ and putting parentheses around them: $y = 8 - 5(-2) + 4(-2)^2$.
Next, I follow the order of operations and evaluate the exponents first: $y = 8 - 5(-2) + 4(4)$.
Then, I multiply: $y = 8 + 10 + 16$.
Finally, I add: $y = 34$.