Algebra 1B Practice Final

Solve by factoring

a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

What is the vertex of y= x² - 8x + 14 ?

• (2, 4)
• (-4, -2)
• (4, -2)
• (-2, 4)

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

What is the vertex?
f(x) = 2(x - 5)² + 12

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)