A2 B3 Review 1

Which option represents the solution set of the equation x² + 4x + 13 = 0?

• -2 + 3i, -2 - 3i

• 2 + 3i, 2 - 3i

• -2 + 2i, -2 - 2i

• 2 + 2i, 2 - 2i

Solve the quadratic equation: x² - 6x + 10 = 0

• 3 + i, 3 - i

• 3 + 2i, 3 - 2i

• -3 + i, -3 - i

• -3 + 2i, -3 - 2i

What is the sum of (3x² - 2x + 1) and (-2x² + 5x - 4)?

• x² + 3x - 3

• x² - 3x + 5

• 5x² - 7x - 3

• x² + 3x - 5

Subtract (2x⁴ - 3x² + 5) from (4x⁴ + 2x² - 1)

• 2x⁴ + 5x² - 6

• 2x⁴ - 5x² - 6

• -2x⁴ + 5x² - 6

• 6x⁴ - x² + 4

Select ALL expressions that are factors of x³ - 8:

• (x - 2) only

• (x + 2) only

• Both (x - 2) and (x² + 2x + 4)

• (x² + 2x + 4) only

Select ALL correct factorizations of x⁴ - 16:

• (x² + 4)(x² - 4)

• (x + 2)(x - 2)(x² + 4)

• (x + 2)²(x - 2)²

• (x+2)(x-2)

Given the graph of f(x) = √x, which function represents a horizontal shift 2 units right and a vertical shift 3 units up from the parent function?

• f(x) = √(x) + 5

• f(x) = √(x - 2) + 3

• f(x) = √(x + 2) + 3

• f(x) = √(x - 3) + 2

The graph of a square root function has been transformed from the parent function by shifting left 3 units and down 2 units. Which equation represents this function?

• y = √(x - 3) - 2

• y = √(x + 3) - 2

• y = √(x - 3) + 2

• y = √(x + 3) + 2

If g(x) = √(x + 1) - 4 is a transformation of f(x) = √x, which sequence of transformations produces g(x)?

• Left 1, down 4

• Right 1, up 4

• Left 4, down 1

• Right 1, down 4

Given the function h(x) = |2x + 4|, what is the domain of the function?

• All real numbers

• All real numbers ≥ 0

• All real numbers ≤ -2

• All real numbers ≥ -2