Transformations in a Quadratic

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

• compress

• stretch

f

g

e

d

• compress

• stretch

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

How would the graph of the function y = x² + 4 be affected if the function were changed to y = x² + 1?

• The graph would shift 3 units up.   

• The graph would shift 3 units down.

• The graph would shift 3 units right.   

• The graph would shift 3 units right.

When is the rocket at a height of 12 meters?

• 2 seconds

• 2 seconds and 4 seconds

• 2 seconds and 6 seconds

• 7 seconds

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units