Transformations of Quadratic Functions

Identify all true transformations from the parent function y=x².

f(x) = -2(x + 1)² - 5

• Reflected over the x-axis

• Translated

• Vertically Stretched

• Vertically Compressed

Identify all true transformations from the parent function y=x².

f(x) = 2(x + 3)² - 1

• Translated left 2

• Translated right 3

• Translated left 3

• Translated up 1

• Translated down 1

Identify all true transformations from the parent function y=x².

f(x) = -1/3x² - 4

• Reflected over the x-axis

• Vertically stretched by a factor of 1/3

• Translated right 4

• Translated down 4

Choose the equation of the quadratic function that is translated 6 units up, 2 units right, and is vertically stretched by a factor of 3 from the parent function.

• f(x) = 3(x - 2)²+6

• f(x) = 6(x + 2)²+3

• f(x) = 3(x + 2)² + 6

• f(x) = 6(x - 2)²-3

Choose the equation of the quadratic function that is reflected over the x-axis, dilated by a factor of 1/2, and translated right 3.

• f(x) = -1/2(x + 3)²

• f(x) = -1/2(x - 3)²

• f(x) = -1/2x² + 3

• f(x) = -1/2x² - 3

Choose the equation of the quadratic function that is reflected over the x-axis and translated down 3.

• f(x) = -x² + 3

• f(x) = -x² -3

• f(x) = -(x-3)²

• f(x) = -(x+3)²

Use transformations to identify the equation of the graph shown.

• f(x) = (x - 5)² - 2

• f(x) = (x + 5)² - 2

• f(x) = (x - 5)² + 2

• f(x) = (x + 5)² + 2

Use transformations to identify the equation of the graph shown.

• f(x) = (x + 3)² - 8

• f(x) = 3(x + 3)² - 8

• f(x) = (x - 3)² - 8

• f(x) = 2(x - 3)² - 8