Algebra 2 Chapter 4 Review

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• f(x) = x²– 4x

• f(x) = –x²+ 4x

• f(x) = –x² – 4x

• f(x) = –(x+4)²

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value and find that value.

• minimum; –1
• maximum; 11
• maximum; –1
• minimum; 11

Solve x^2 = 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 x^2 – 3x = 28 by factoring.

• {–4, 7}
• {–14, 2}
• {–7, 4}
• {–2, 14}

Which quadratic equation has roots 7 and – 2/3 ?

• 2x^2 – 11x – 21 = 0
• 3x^2 + 23x + 14 = 0
• 3x^2 – 19x – 14 = 0
• 2x^2 + 11x – 21 = 0

Simplify (15 – 13i) – (–1 + 17i).

• 16 – 30i
• 16 + 4i
• 16 + 30i
• 46

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

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

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

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.3

Find the value of c that makes x^2 + 5x + c a perfect square trinomial.

• 25/16

• 5/4

• 25/4

• -25/4

The quadratic equation x^2 – 18x = –106 is to be solved by completing the square. Which equation would be a step in that solution?

• 〖(x - 9)〗^2 = 25
• x^2 – 18x + 106 = 0
• x – 9 = ±5i
• x^2 – 18x + 81 = –106