Math 2 Honors 2B.3 Quadratic Transformations Quiz

Which of the following functions of the form

y = ax² produces the narrowest graph and opens upward?

• y = 1/4x²

• y = -4x²

• y = -1/4x²

• y = 4x²

What steps transform the graph y = x² + 6 to y = x² + 2

• shifted up 4 units

• shifted down 4 units

• shifted left 4 units

• shifted right 4 units

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is the correct equation for the given graph?

• f(x) = -(x - 2)² - 4

• f(x) = 3(x - 2)² - 4

• f(x) = -3(x - 2)² - 4

• f(x) = -3(x + 2)² - 4

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5