Howell Sanders
06/21/2023 · Primary School
whose roots are \( \frac{\sigma^{-}}{\beta} \) and \( \frac{\rho^{2}}{\alpha} \). 9. Sketch the graphs of \( f(x),|f(x)|, 4|f(x)|,|f(x)|+4 \), and \( |f(x)|-6 \) on the same axis for each of the following functions: \( \begin{array}{llll}\text { (a) } f(x)=2 x^{2}-4 x+5 & \text { (b) } f(x)=(x+1)(2-x) & \text { (c) } f(x)=3-7 x-3 x^{2} & \text { (d) } f(x)=x^{3}-8\end{array} \)
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For each function, plot \( f(x) \), \( |f(x)| \), \( 4|f(x)| \), \( |f(x)| + 4 \), and \( |f(x)| - 6 \) on the same axis. Analyze the vertex, roots, and shape of the original function, then apply transformations to create the additional graphs.
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