Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = x2 + 2x - 6

A. (-1, -9)
B. (2, 2)
C. (1, -3)
D. (-1, -7)


Answer: D

Mathematics

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Find the area of the polygon.

A. 77 cm2 B. 53.9 cm2 C. 100.1 cm2 D. 154 cm2

Mathematics

Solve the equation.x2 - 3 = 0

A. ±3
B. ±3i
C. ±
D. ±i

Mathematics

Find the coordinates of (a) the vertex and (b) the x-intercepts of the given quadratic function to the nearest hundredth.f(x) = 3.65x2 + 6.97x + 3.33

A. (a) (-0.22, -2.32) (b) (3.33, 0), (-3.33, 0) B. (a) (-0.95, 0) (b) (-0.95, 0) C. (a) (-0.95, 3.33) (b) (3.49, 0), (1.67, 0) D. (a) (0, 3.33) (b) There are no x-intercepts.

Mathematics

Find absolute maximum and minimum values of the function, if they exist, over the indicated interval. Where no interval is specified, use the real line. List your answers in terms of ordered pairs.

f (x) = cos x ? sin2 x; [0, 2? ]

Mathematics