Transformations of Parabolas

If the red parabola is f(x) = x², what is the best equation for the blue parabola?

• f(x) = 0.25x²

• f(x) = x² - 3x + 4

• f(x) = 5x²

• f(x) = 0.5x²

Given f(x) = x² - 4 , how did we transform from the parent function?

• Horizontal shift left 4

• Vertical shift up 4

• Horizontal shift right 4

• Vertical shift down 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

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

• up 3

• down 3

• right 1

• left 1

• downward

• upward

• compress

• stretch

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

Write the equation of the quadratic function. (parabola)

• y = x² - 3

• y = x² + 3

• y = ( x - 3 )²

• y = ( x + 3 )²

Tags

CCSS.HSF-IF.C.7A