transformations

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

. 
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

Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I

• Stretches by 3, Shifts left 8
• Stretches by 3, Shifts right 8
• Stretches by 3, Shifts up 8
• Stretches by 3, Shifts down 8

Describe the transformation that is applied to the parent function. 
f(x) =  (1/2) Ix-1I -1

• Compresses by (1/2), Shifts left 1, down 1
• Compresses by (1/2), Shifts right 1, down 1
• Compresses by (1/2), Shifts left 1, up 1
• Compresses by (1/2), Shifts right 1, up 1

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

The domains of (f+g)(x), (f−g)(x) and (f⋅g)(x) are all the same.

• True

• False