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(03.02 MC) Two students, Carlos and Sophie, factored the trinomial 3y2+24y+453y2+24y+45. Sophie factored it as 3(y+3)(y+5) and Carlos factored it as (3y+9)(y+5). Indicate which student factored the tr
(03.02 MC)
Two students, Carlos and Sophie, factored the trinomial 3y2+24y+453y2+24y+45. Sophie factored it as 3(y+3)(y+5) and Carlos factored it as (3y+9)(y+5). Indicate which student factored the trinomial completely and which student did not, and explain why. (10 points)
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
f(x) g(x) h(x)
f(x) = -4(x − 8)2 + 3 g(x) = 3x2 + 12x + 15 graph of negative 1 times the quantity of x minus 3 squared, plus 2
(10 points)
(03.06 LC)
The function f(x) = -(x + 1)2 + 25 has been rewritten using the completing-the-square method. The function g(x)=3x2+30x+93x2+30x+9
Which vertex for each function has a minimum or a maximum? What is the vertex for each function? Explain your reasoning for each function.(10 points)
The function f(x) = −4(x+1)2+21-4(x+1)2+21 has been rewritten using the completing-the-square method. The function g(x) = 2x2+x−552x2+x-55.
Which vertex for each function has a minimum or a maximum? What is the vertex for each function? Explain your reasoning for each function
(10 points)
