Illustrative Math Algebra 2 Unit 4

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3, -1}
• {4, -4}
• {5, -3}
• {8, -7}

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Describe the transformation

• left 2 up 5
• right 2 up 5
• left 2 down 5
• right 2 down 5

Identify the transformations to the step function: 

• x-axis reflection; stretch of 2; right 2; down 2
• x-axis reflection; stretch of 2; left 2; down 2
• x-axis reflection; shrink of 2; left 2; up 2
• shrink of -2; right 2; down 2

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = Ix+4I +3
• f(x) = Ix+4I -3
• f(x) = -Ix+3I +4
• f(x) = -Ix-4I +3

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

• f(x) = Ix+4I +3
• f(x) = Ix+4I -3
• f(x) = -Ix+3I +4
• f(x) = -Ix-4I +3

What is the vertex:
f(x)= -(5/2) Ix-4I ?

• (0,4)
• (4,2)
• (2,4)
• (4,0)

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

• y = x² + 2
• y = -x² + 2
• y = x² - 2
• y = -(x + 2)²