Quadratic Transformations

Describe the transformation of y = (x - 4)² from the function y = x²

• vertical shift up 4 units

• vertical shift down 4 units

• horizontal shift left 4 units

• horizontal shift right 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = x² + 4 from the function y=x²

• Horizontal shift right 4 units

• Horizontal shift left 4 units

• vertical shift up 4 units

• vertical shift down 4 units

Tags

CCSS.HSF.BF.B.3

Compare the function y = 0.3x² to the parent function

y = x²

• The parabola is wider. Vertical compression by a factor of 0.3

• The parabola is more narrow. Vertical stretch by a factor of 0.3

• Vertical shift up 0.3 units

• Vertical shift down 0.3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Consider the parent 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

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by a factor of 5

• Vertical compression by a factor of 5

• Reflection across the x-axis

• Vertical shift up 5 units

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 3 do?

• Vertical stretch by a factor of 3

• Vertical compression by a factor of 3

• Horizontal shift left 3 units

• Horizontal shift right 3 units

Tags

CCSS.HSF.BF.B.3

In the equation f(x)=5(x+3)²-10 what does the 10 do?

• Vertical stretch by a factor of 10

• Vertical compression by a factor of 10

• Vertical shift down 10 units

• Vertical shift up 10 units

Tags

CCSS.HSF.BF.B.3

• The parent function was vertically stretched

• The parent function was horizontally stretched

• The parent function was reflected across the x-axis

• The parent function was vertically shifted down

Tags

CCSS.HSF.BF.B.3

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

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

The graph of  $f\left(x\right)=x^2$   was transformed to create the graph of  $g\left(x\right)=\left(x+5\right)^2$  . Which of these describes this transformation?

• a horizontal shift to the right 5 units

• a horizontal shift to the left 5 units

• a vertical shift up 5 units

• a vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2