Algebra 2 Finals

Alanna says that the equation y = 2x² - 3x - 2 has two real solutions. Is she correct?

• No because the discriminant is negative

• Yes because the discriminant is positive

• Yes because the discriminant is zero

• No because the discriminant is zero

Tags

CCSS.HSA-REI.B.4B

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

• 2x² + 3x + 8 + -57/x-4

• 2x² - 13x - 56

• 2x² + 3x + 8 +7/x-4

• 2x² - 3x - 16 + -89/x-4

Tags

CCSS.HSA.APR.D.6

What is the remainder when a³ - 4 is divided by a+2?

• -2

• -6

• -12

• 4

Tags

CCSS.HSA.APR.B.2

What is f^-1(x)?

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Solve and check your solution(s).

• x = 2, 3

• x = -2, -3

• x = -1, -6

• No solution

Tags

CCSS.HSA.REI.A.2

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

• A

• B

• C

• D

Tags

CCSS.HSF.LE.A.2

Identify the vertex and intercepts of the graph of the equation:
f(x) = (x + 3)² − 2

• Vertex: (−3, −2); y-intercept: (0, 7); x-intercepts: (−3±√2, 0)

• Vertex: (3, 2); y-intercept: (0, 1); x-intercepts: (±3, 0)

• Vertex: (2, −3); y-intercept: (0, 4); x-intercepts: (−2±√3, 0)

• Vertex: (−3, −2); y-intercept: (0, −2); x-intercepts: (−3, 0), (−7, 0)

Tags

CCSS.HSF-IF.C.7A

Choose the correct answer.

• A

• B

• C

• D