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

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).

Which of the following represents a graph of 4𝑥2 + 𝑦2 − 8𝑥 + 4𝑦 − 9 = 0

Determine whether the solutions to the following equations satisfies 𝑥>0, 𝑥=0 or 𝑥>0.𝑥<0𝑥=0𝑥>0 4𝑥−12=𝑥2+2−2𝑥+3=10+4𝑥2𝑥+7=7−5𝑥 5𝑥+23=𝑥−12

𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑚𝑎𝑥𝑖𝑚𝑢𝑚 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑟𝑎𝑛𝑘 𝑜𝑓 𝑎𝑛 𝑚 × 𝑛 𝑚𝑎𝑡𝑟𝑖𝑥 𝐴 𝑡ℎ𝑎𝑡 𝑖𝑠 𝑛𝑜𝑡 𝑠𝑞𝑢𝑎𝑟𝑒? Question 10Select one: 𝑅𝑎𝑛𝑘(𝐴) = 𝑚𝑖𝑛(𝑚, 𝑛) 𝑅𝑎𝑛𝑘(𝐴) ≤ 𝑚𝑖𝑛(𝑚, 𝑛)  𝑅𝑎𝑛𝑘(𝐴) = 𝑚𝑎𝑥(𝑚, 𝑛)𝑅𝑎𝑛𝑘(𝐴) ≥ 𝑚𝑖𝑛(𝑚, 𝑛)

QUESTION 1The diagram below shows the functions of and𝑓(𝑥) =− 2𝑥2 + 5𝑥 + 3. is the turning point of and and are the𝑔(𝑥) = 2𝑥 + 1 𝐶 𝑓(𝑥), 𝐴 𝐸intercepts of . and are points on both graphs and . cuts𝑥 − 𝑓(𝑥) 𝐷 𝐴 𝑓(𝑥) 𝑔(𝑥) 𝑓(𝑥)the axis at and cuts the axis at .𝑦 − 𝐵 𝑔(𝑥) 𝑦 − 𝐼Figure 1: Diagram for Question 1.4Use the information and diagram above and:1.1 Calculate the length of:1.1.1 𝐴𝐸 (4)1.1.2 𝐵𝑂 (2)1.1.3 𝑂𝐹 (3)1.1.4 𝐶𝐹 (3)1.1.5 𝐵𝐼 (2)1.2 Determine the coordinates of .𝐷 (6)1.3 Write down the values of for which .𝑥 𝑓(𝑥) < 𝑔(𝑥) (2)1.4 Write down in the form using completing𝑓(𝑥) 𝑓(𝑥) = 𝑎(𝑥 − 𝑝)2 + 𝑞,the square. (4)1.5 Write down the domain of .𝑓(𝑥) (1)1.6 Write down the range of .𝑔(𝑥) (1)[28