Algebra Online Learning Week 2 Retake

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.IF.C.8

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

• Shrink 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

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

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

• Shrink by a factor of 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, shrink by a factor of 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

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which list orders the quadratic functions from narrowest to widest?

• y = x² 
  y = 4x² 
  y = 2x² - 2  
  y = 0.5 x²
• y = 0.5 x²  
   y = x² 
  y = 2x² - 2 
  y = 4x²
• y = 4x² 
  y = 2x² - 2
   y = x² 
  y = 0.5 x²  
•  y = 2x² - 2
   y = 4x²
   y = 0.5x²
   y = x²

Tags

CCSS.HSF.BF.B.3

Which transformation will occur if f(x) = x² is replaced with -f(x)?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.A.4

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Nothing happens, it stays the same.
• Vertical stretch by a factor of 2.
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which describes the transformation of the graph of f(x) = x²  to the graph of  g(x) = -4x²

• Reflected, narrower
• reflected, wider
• shifted down 4 units
• shifted up 4 units

Tags

CCSS.HSF.BF.B.3