The functions f(x) = (x - 1)^2 - 2 and g(x) = -(x - 2)^2 + 1 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
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What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity courtesy of texas instruments a: y = (x − 4)2 − 4 b: y = (x + 4)2 − 4 c: y = (x + 2)2 + 6 d: y = (x + 2)2 + 12

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Find the average speed of a rabbit that runs a distance of 22 m in a time of 1.8 s .