Illustrative Math Algebra Unit 5 Mid Unit

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6
• y= -(x-1)²-6
• y= (x+1)²-6
• y= -(x+6)²-1

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

What is the axis of symmetry for 
f(x)=4(x-2)² + 3

• 4
• 2
• x = -2
• x = 2

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

• y = -(x + 1)² - 4
• y = -(x + 1)² + 4
• y = -(x - 1)² - 4
• y = (x + 1)² + 4

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

Which of the following quadratic equations best represents the following data?

• y = 7x² - 3x

• y = 3x² - 2x + 1

• y = 6x² + 3x - 2

• y = 7x² - 3x + 1

Which of the following quadratic equations best represents the following data?

• y = 4x² + 1

• y = 3x² + 8x - 3

• y = 4x²

• y = 3x² + 3x - 1

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)