Fill in the blanks to complete the statement:Compared to the graph of the parent function, 𝑓(𝑥)=|𝑥|𝑓(𝑥)=|𝑥|, the graph of 𝑔(𝑥)=𝑎|𝑥|𝑔(𝑥)=𝑎|𝑥|, where 0<𝑎<10<𝑎<1, results in a vertical Answer 1 Question 6, making 𝑔(𝑥)𝑔(𝑥) Answer 2 Question 6 than the graph of 𝑓(𝑥)𝑓(𝑥).

Compare the graph of the function 𝑔(𝑥)=|𝑥−1|+5𝑔(𝑥)=|𝑥−1|+5 to the graph of its parent function, 𝑓(𝑥)=|𝑥|𝑓(𝑥)=|𝑥|.Select all statements that apply to the transformation of 𝑓(𝑥)𝑓(𝑥) to 𝑔(𝑥)𝑔(𝑥).Question 8Select one or more:a.Vertical translation, down 55 unitsb.Vertical translation, up 55 unitsc.Vertical translation, down 11 unitd.Vertical translation, up 11 unite.Horizontal translation, left 55 unitsf.Horizontal translation, right 55 unitsg.Horizontal translation, left 11 unith.Horizontal translation, right 11 unit

First, sketch a graph of the piecewise function𝑓(𝑥)={2𝑥+−7𝑥2−6𝑥<1𝑥≥1.Use your sketch to answer the following questions.(a) lim𝑥→1−𝑓(𝑥)= (b) lim𝑥→1+𝑓(𝑥)= (c) 𝑓(1)=

The graph of 𝑦=−|𝑥|𝑦=−|𝑥| is a reflection in the Answer 1 Question 10 of the graph of 𝑦=|𝑥|𝑦=|𝑥|.

The function 𝑓 is given by 𝑓⁡(𝑥)=2(3⁢𝑥). Which of the following statements describes characteristics of the graph of 𝑓 in the 𝑥⁢𝑦-plane?ResponsesThe graph of 𝑓 is a vertical dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8𝑥.The graph of  f  is a vertical dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 to the power of x .The graph of 𝑓 is a vertical dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8·2𝑥.The graph of  f  is a vertical dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 times 2 to the power of x .The graph of 𝑓 is a horizontal dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8𝑥.The graph of  f  is a horizontal dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 to the power of x .The graph of 𝑓 is a horizontal dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8·2𝑥.

Compare the graphs of 𝑓(𝑥)𝑓(𝑥) and 𝑔(𝑥)𝑔(𝑥). Find the value of ℎℎ and 𝑘𝑘.Enter your answers as integers: ℎ=ℎ=Answer 1 Question 9 and 𝑘=𝑘=Answer 2 Question 9