Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure.
A. f(x) = x2 - 6x + 5
B. f(x) = x2 + 5x - 6
C. f(x) = x2 + 5x + 6
D. f(x) = x2 + 6x + 5
Answer: A
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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0
A. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
B. ? = 63.4° +
= 1
ellipse
center at (, -
)
major axis is x'-axis
vertices at (4 + , -
) and (-4 +
, -
)
C. ? = 26.6° +
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
D. ? = 63.4° -
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)
Find the product.(n - 2)(n - 2)(n + 2)(n + 2)
A. n4 + 8n - 16 B. n4 - 8n2 + 16 C. n4 - 8n + 16 D. n4 + 8n2 - 16
Describe how to transform the graph of g(x) = ln x into the graph of the given function. Graph the function.f(x) = log1/5 x
A. Shift down (ln 5) units
B. Vertically shrink by a factor
C. Reflect across the x-axis and
shift up (ln 5) units
D. Reflect across the x-axis and
vertically shrink by a factor
Find the ratio. Simplify, if possible.David's paycheck for a week at the video store was $113.68. If he worked 28 hours that week, what was his pay rate?
A. $4.06/hour B. $3.78/hour C. $4.21/hour D. $4.03/hour