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What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

x = −5

x = −3

x = 3

x = 5

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What is the value of i 20+1?

–1

–i

What is the greatest possible integer value of x for which is an imaginary number?

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

{–22, 14}

{–14, 22}

{–10, 2}

{–2, 10}

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

right 5, down 23

left 5, down 23

right 5, up 27

left 5, up 27

What values of b satisfy 4(3b + 2)2 = 64?

b = and b = –2

b = 2 and b =

b = and b = 3

b = 2 and b =

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

isolating the constant 1

adding 4 to both sides of the equation

isolating the second term, –4x

adding 1 to both sides of the equation

Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

–16t2 + 48t > 8

–16t2 + 48t < 8

–16t2 + 48t ³ 8

–16t2 + 48t £ 8

Which is the graph of the function f(x) = x2 + 2x + 3?

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).

What is the value of i 97 – i?

–i

–2i

i Superscript 96

Which point shows the location of 5 – 2i on the complex plane below?

point A

point B

point C

point D

What are the solutions to the quadratic equation 4(x + 2)2 = 36

x = −11 and x = 7

x = −7 and x = 11

x = −5 and x = 1

x = −1 and x = 5

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

5(x2 + 8x + 16) = 30

5(x2 + 8x + 16) = 94

5(x2 + 8x + 4) = 18

5(x2 + 8x + 4) = 34

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k

g(x) = (x + 8)2 + k

g(x) = (x – h)2 – 5

g(x) = (x – h)2 – 15

Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.

5(x2 + 4x + 4) = –7 + 20

x + 2 =

5(x2 + 4x) = 7

5(x2 + 4x + 4) = 7 + 20

5(x2 + 4x) = –7

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