Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = x2 + 8x + 16

A. vertex (4, 16)
intercept (0, 32)
 
B. vertex (4, 0)
intercepts (0, 16), (4, 0)
 
C. vertex (-4, 16)
intercept (0, 32)

D. vertex (-4, 0)
intercepts (0, 16), (-4, 0)
 


Answer: D

Mathematics

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Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.

A. 1 - a2
B. 1 
C.
D.

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Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination. x - 2y = 42x - 2y = 6

A. (3, -2) B. (2, -1) C. (3, 2) D. No solution

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Find the vertices of the hyperbola.16(y + 2)2 - 25(x - 1)2 = 400

A. (1, 3) and (1, -7) B. (-3, -2) and (5, -2) C. (-1, 7) and (-1, -3) D. (-5, 2) and (3, 2)

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Determine the distance between the pair of points.(-1, -1) and (1, 7)

A. 60
B. 2
C. 60 
D. 6 

Mathematics