Transforming Polynomial Functions

Describe the transformation of y = x² + 4

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

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

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

Describe the transformation of y = (x + 7)²

• Shift UP

• Shift DOWN

• Shift LEFT

• Shift RIGHT

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

• reflection over y axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the right 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical stretch by a factor of 3
• reflection over x axis, horizontal shift to the left 2 and vertical compression by a factor of 3

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

• Left 2; Up 2
• Right 2; Down 2
• Left 2; Up 2; Reflection over x-axis
• Vertical stretch by factor of 3; Right 2; Down 2

• Vertical Stretch by factor of 3; Reflection over x-axis; Left 3
• Horizontal Compression by factor of 3;Reflection over y-axis; Left 3
• Vertical Stretch by 3; Reflection over y-axis; Left 3
• Reflection over x-axis; Left 3