Quadratic transformations

Which transformation maps 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

Match the equation to its description.

• Up 2
• Down 2 
• Left 2
• Right 2 

Describe the transformation.
y=x+2

• moved up
• moved down
• moved left
• moved right

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF-IF.C.7A

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

How did we transform from the parent function?
y = -1/2(x - 1)² + 3

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Match the equation to its description.

• Reflected in x -axis and Vertical translation up 4 units
• Reflected in x -axis and vertical translation down 4 units
• Reflected in x -axis and horizontal translation right 4 units 
• Reflected in x -axis and horizontal translation left 4 units

Match the equation to its description.

• Vertical Stretched by a factor of 2 and vertical translation up 4 units
• Vertical Compressed by a factor of 2 and vertical translation up 4 units
• Vertical Stretched by a factor of 2 and horizontal translation left 4units
• Vertical Compressed by a factor of 2 and horizontal translation left 4 units

How did we transform from y=x^2?
y = -3x²

• reflection and horizontal compression
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A