Transformations

Which equation below is a quadratic function
 y = x² translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Which equation is an absolute value graph
y = |x| shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

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 shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

What transformation is represented from the parent function f(x) = 2^x ?

• Vertical shift right 1 unit

• Horizontal shift left 1 unit

• Horizontal shift right 1 unit

• Vertical shift down 1 unit

What transformation is represented from the parent function f(x) = 3^x ?

• Vertical shift up 4

• Horizontal shift left 4

• Horizontal shift right 4

• Vertical shift down 4

What transformation is represented from the parent function f(x) = 2^x ?

• Vertical Shift up 2 and Horizontal Shift right 1

• Vertical Shift down 2 and Horizontal Shift left 1

• Horizontal Shiftn left 2 and Vertical Shift up 1

• Horizontal Shift right 2 and Vertical Shift down 1

The red graph is f(x).  What could the blue graph be?

• f(3x)
• f(x)+1
• f(x-3)+1
• f(x+3)+1

Given the parent function y = x², describe the transformations that occurs to produce:

y = (x+3)² - 4 ?

• Horizontal shift to the left 3 units and Vertical shift up 4 units

• Horizontal shift to the left 3 units and vertical shift down 4 units

• horizontal shift to the right 3 units and vertical shift down 4 units

• horizontal shift to the right 4 units and vertical shift up 3 units

The original graph is y=x. The new graph has been moved up 3 and to the right 4. The new graph is:

• y=(x + 3) - 4

• y=(x - 4) + 3

• y=(x + 4) + 3

• y=(x + 3) + 4