MPT College Algebra 2

Question 1

Which of the following is the vertex of the parabola y = 2(x - 3)² + 5?

Accepted Answer

(3, 5)

Answer

The vertex form y = a(x - h)² + k gives vertex (h, k) = (3, 5).

Question 2

If f(x) = 3x² - 2x + 1, what is f(-2)?

Accepted Answer

17

Answer

f(-2) = 3(4) - 2(-2) + 1 = 12 + 4 + 1 = 17.

Question 3

Solve the inequality: 2x - 5 > 3. Which answer correctly expresses the solution?

Accepted Answer

x > 4

Answer

Add 5 to both sides: 2x > 8, then divide by 2: x > 4.

Question 4

What are the roots of x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x - 2)(x - 3) = 0, giving roots x = 2 and x = 3.

Question 5

Which expression is equivalent to log₂(8) + log₂(4)?

Accepted Answer

5

Answer

log₂(8) = 3 and log₂(4) = 2, so their sum is 5.

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