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 description to its equation.

• Reflected over the x-axis
• Horizontally Compressed by a factor of 2

• A

• B

• C

• D

Match the description to its equation.

• Vertically translated up 2
• Horizontally translated left 4

• A

• B

• C

• D

Match the description to its equation.

Horizontally translated right 7

• A

• B

• C

• D

Match the description to its equation.

• Vertically translated down 3

• A

• B

• C

• D

Match the equation to its description.

• Reflected over the x axis and translated up 4

• Reflected over the x axis x and translated down 4

• Reflected over the x axis and translated right 4

• Reflected over the x axis and translated left 4

Match the equation to its description.

• Vertically Stretched by 2 and vertically translated up 4

• Vertically Compressed by 2 and vertically translated up 4

• Vertically Stretched by 2 and horizontally translated left 4

• Vertically Compressed by 2 and horizontally translated left 4

Match the equation to its description.

• Vertically Stretched by 4 and vertically translated up 4

• Vertically Compressed by 4 and vertically translated up 4

• Vertically Stretched by 4 and horizontally translated left 4

• Vertically Compressed by 4 and horizontally translated left 4

Match the description to its equation.

• Vertically translated down 1
• Horizontally translated right 1

• A

• B

• C

• D

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Horizontal compression by a factor of 2.

• Vertical stretch by a factor of 2.

• Vertical compression by a factor of 2.

• Horizontal compression by a factor of 2.