Provide an appropriate response.Explain how (a - b)2 differs from a2 - b2 by expanding (a - b)2.
What will be an ideal response?
Expanding (a - b)2 one gets (a - b)2 = a2 - 2ab + b2 which differs from a2 - b2 by the term -2ab and the sign of b2.
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Provide an appropriate response.Use the substitution to solve the equation 2(y + 3)2 - 5(y + 3) + 3 = 0.
A.
B.
C.
D.
The graph of a piecewise-defined function is given. Write a definition for the function.
A.
B.
C.
D.
Write as the sum and/or difference of logarithms. Express powers as factors.log5
A. log5x - 2
B. - 2log5x
C. 10 - log5x
D. log5x - 2
Find the vertex, focus, and directrix of the parabola with the given equation.(y + 3)2 = -4(x - 2)
A. vertex: (-3, 2) focus: (-4, 2) directrix: x = -2 B. vertex: (2, -3) focus: (3, -3) directrix: x = 1 C. vertex: (2, -3) focus: (1, -3) directrix: x = 3 D. vertex: (-2, 3) focus: (-3, 3) directrix: x = -1