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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).
A
g(x) = (x + 5)2 + 2B
g(x) = (x + 2)2 + 5C
g(x) = (x – 2)2 + 5D
g(x) = (x – 5)2 + 222
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The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36
A
f(x) = 4(x + 6)2 + 10B
f(x) = 4(x + 6)2 – 26C
f(x) = 4(x + 6)2 – 134D
f(x) = 4(x + 6)2 + 15423
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
A
1B
–1C
iD
–i24
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
A
(negative 6 minus StartRoot 51 EndRoot comma negative 6 + StartRoot 51 EndRoot)
B
(negative 6 minus StartRoot 21 EndRoot comma negative 6 + StartRoot 21 EndRoot)
C
(6 minus StartRoot 51 EndRoot comma 6 + StartRoot 51 EndRoot)
D
(6 minus StartRoot 21 EndRoot comma 6 + StartRoot 21 EndRoot)
25
What is the distance from the origin to point P graphed on the complex plane below?
A
StartRoot 7 EndRoot
B
StartRoot 29 EndRoot
C
7D
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