4th 9/22 trans

What are the following transformations from the original function f(x)?

f(x+2)

• horizontal shift 2 units to the right

• reflection over the x axis

• reflection over the y axis

• horizontal shift 2 units to the left

. 
If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

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

• Translation left 2 units
• Narrower
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3
• x³ - 3
• (x + 3)³
• (x - 3)³

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2
• x³ - 2
• (x + 2)³
• (x - 2)³

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

. 
If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression