Use transformations to graph the function \( f(x)=5^{x+2} \). Determine its domain, range, and horizontal asymptote. Which transformations must be applied to obtain the graph of \( f(x)=5^{x+2} \) ? Select all that apply. \( \square \) A. Reflection about the \( x \)-axis \( \square \) B. Reflection about the \( y \)-axis \( \square \) C. Vertical compression or stretch \( \square \) D. Vertical shift \( \square \) E. Horizontal compression or stretch \( \square \) F. Horizontal shift

The second equation is obtained by using the negative expression, \[ \begin{array}{l}-\left(x^{2}+8 x\right)=5 x+40 \\ -\left(x^{2}+8 x\right)=5 x+40 \\ -x^{2}-8 x=5 x+40 \\ \text { Solve this equation for } x, \\ x^{2}+13 x+40=0 \\ x+8=0 \Rightarrow x=-8 \\ (x+8)(x+\square\end{array} \]

o) \( \lim _{n \rightarrow+\infty} \frac{\sqrt{n-\frac{1}{n}}-\sqrt{n}}{\left(e^{1 / n}-1\right)^{3 / 2}} \)

Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.) \[ 2-\frac{5}{x}-\frac{3}{x^{2}}=0 \] \( x=\square \)

Fully factorise the following \( 42+20 x+2 x^{2} \)

2. (UECE) Se ié ó número complexo cujo quadrado é igual \( a-1 \), entáo, o valor de \( 5 \cdot i^{227}+i^{6}-i^{13} \) é igual a \( \begin{array}{ll}\text { a) } i+1 & \text { c) }-6 i-1 \\ \text { b) } 4 i-1 & \text { d) }-6 i\end{array} \)