Quadratic Graph Transformation

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.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

Identify the 'a' value: y = 16x² -8x -24

• 16

• 8

• -8

• -24

Identify the 'b' value: y = 16x² -8x -24

• 16

• -8

• 8

• -24

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

• Reflection over x-axis

• None of these

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2