Express the function in the form f(x) = a(x - h)2 + k and indicate the vertex.f(x) = -x2 - 12x + 3
A. f(x) = -(x - 6)2 - 105
vertex: (6, -105)
B. f(x) = -(x - 6)2 - 33
vertex: (6, -33)
C. f(x) = -(x + 6)2 + 39
vertex: (-6, 39)
D. f(x) = -(x + 12)2 + 3
vertex: (-12, 3)
Answer: C
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Provide an appropriate response. Solve for x: log2 16 = x + 1
A. x = 7.5 B. x = 2 C. x = 3 D. x = 7
Complete the square to write the equation in the form 
+ 
= 1 or 
+ 
= 1.Determine the center, foci, and vertices of the ellipse.3x2 + 5y2 - 24x + 70y + 278 = 0
A. 
+ 
= 1
center: (-4, 7); foci: (-4 + 
, 7), (-4 - 
, 7); vertices: (-4 - 
, 7), (-4 + 
, 7)
B. 
+ 
= 1
center: (-4, 7); foci: (-4 + 
, 7), (-4 - 
, 7); vertices: (-4 - 
, 7), (-4 + 
, 7)
C. 
+ 
= 1
center: (4, -7); foci: (4 + 
, -7), (4 - 
, -7); vertices: (4 + 
, -7), (4 - 
, -7)
D. 
+ 
= 1
center: (4, -7); foci: (4 + 
, -7), (4 - 
, -7); vertices: (4 + 
, -7), (4 - 
, -7)
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation.
? 
A. 
B. x
C. 
D. 
According to the 2000 U.S. Census, Santa Fe, New Mexico, has a population of 62,203 of whom 29,744 are Hispanic or Latino (of any race). If 300 citizens of Santa Fe are selected at random, what is the probability that at least 140 of them will be Hispanic or Latino? (U.S. Bureau of the Census.)
What will be an ideal response?