Quadratic Transformations

Which transformation describes the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• y = -2(x)²

• y = -(2x)²

• y = -(x+2)²

• y = -(x)²+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Match the equation to its description.

f(x) = -(x)² - 4

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

Tags

CCSS.HSF.BF.B.3

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

What describes the transformation of 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

What describes the transformation of 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

In the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?

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

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5