Algebra Two

Identify the y-intercept and the axis of symmetry for the graph of

f(x) = –3x²+ 6x + 12.

• 2; x = –12

• 12; x = 1

• –2; x = 0

• –12; x = –1

• f(x) = x²– 4x

• f(x) = –x²+ 4x

• f(x) = –x² – 4x

• f(x) = –(x+4)²

Determine whether f(x) = –5x² – 10x + 6 has a maximum or a minimum value and find that value.

• minimum; –1

• maximum; 11

• maximum; –1

• minimum; 11

Solve x² = 4x by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

• –4, 0

• between –4 and 4

• 2, –4

• 0, 4

Solve x² – 3x = 28 by factoring.

• {–4, 7}

• {–14, 2}

• {–7, 4}

• {–2, 14}

Which quadratic equation has roots 7 and – 2 ?

• x² + 5x – 14 = 0

• x² + 5x + 14 = 0

• x² – 5x – 14 = 0

• x² - 5x +14 = 0

Simplify (15 – 13i) – (–1 + 17i).

• 16 – 30i
• 16 + 4i
• 16 + 30i
• 46

Simplify (1 + 2i )/(2 - 3i )

• 8/7 + 1/7 i
• 8/7 + i
• –4 + 7i
• – 4/13 + 7/13 i

Find the value of c that makes x² + 5x + c a perfect square trinomial.

• 25/16

• 5/4

• 25/4

• -25/4

The quadratic equation x² – 18x = –106 is to be solved by completing the square. Which equation would be a step in that solution? (Select all that apply)

• (x - 9)² = 25

• x² – 18x + 106 = 0

• x – 9 = ±5i

• x² – 18x + 81 = –106