Provide an appropriate response.Without graphing explain the differences between the graphs of     and 

What will be an ideal response?


All graphs are the same shape. The graph of y = x2 - 1 is shifted 1 units down, the graph of y = x2 + 1 is shifted 1 units up, the graph of y = (x - 1)2 is shifted 1 units to the right, and the graph of y = (x + 1)2 is shifted 1 units to the left.

Mathematics

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Give the opposite and then the absolute value of the number.-24

A. -24, 24 B. 0, 24 C. 24, 24 D. -24, -24

Mathematics

Solve the differential equation.y'' - 6y' + 8y = 0

A. y = e4x(C1 cos 2x + C2 sin 2x) B. y = e2x(C1 cos 4x + C2 sin 4x) C. y = C1e-2x + C2e-4x  D. y = C1e2x + C2e4x 

Mathematics

Write the converse, inverse, or contrapositive of the statement as requested.If I pass, I'll party.Contrapositive

A. If I don't pass, I won't party. B. I'll party if I pass. C. If I don't party, I didn't pass. D. If I party, then I passed.

Mathematics

Decide if the statement is true or false.cot ? can equal any real number.

A. False B. True

Mathematics