Analizar y graficar 3) \( y=2 x^{2}-4 x+5 \)

Given the quadratic \( y=-2(x+1)^{2}-7 \) write the equation in standard form.

2. Expand and simplify \( \begin{array}{ll}\text { a. } 2(x+3) & \text { b. } \quad x\left(x^{2}-3 x\right) \\ \text { c. } \quad(x+7)(x-5) & \text { d. } \quad(x-3)^{2}\end{array} \)

a) \( 2 / 6=9 / x \) b) \( 1 / 3=x / 12 \) c) \( x / 10=6 / 5 \) d) \( \delta / x=2 / 15 \)

4. \( 4 x-2 x+2=2 x-2-2 x \)

The number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation \( \mathrm{N}=-2.8 \mathrm{x}^{2}+72.4 \mathrm{x}+1914 \), where x is the number of years since 2000. In 2012 , the number of incarcerated adults peaked. How many adults were incarcerated in that year? There were \( \square \) incarcerated adults in 2012.