Find the equation of the parabola whose vertex and focus are shown.

A. y2 = 32x
B. y2 = -32x
C. y2 = -8x
D. x2 = -32y


Answer: B

Mathematics

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Add or subtract as indicated.|12| - |11|

A. 23 B. -1 C. -23 D. 1

Mathematics

Provide an appropriate response.Solve the following absolute value equation:   = 5

Fill in the blank(s) with the appropriate word(s).

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.xy +16 = 0

A. ? = 45°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
B. ? = 45°
y'2 = -32x'
parabola
vertex at (0, 0)
focus at (-8, 0)
C. ? = 45°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is y'-axis
vertices at (0, ±4)
D. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)

Mathematics

Solve.The number of students in a school in year n is estimated by the model. About how many students are in the school in each of the first three years?

A. 99, 128, 167 B. 104, 128, 167 C. 113, 142, 181 D. 99, 128, 152

Mathematics