Transformations and systems

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

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

What is the name of this parent function?

• Quadratic Function
• Absolute Value Function
• Cubic Function
• Linear Function 

What is the name of this parent function?

• Quadratic Function
• Square Root Function
• Exponential Function
• Absolute Value Function 

• Horizontal shift left 7

• Horizontal shift right 7

• Vertical shift up 7

• Vertical shift down 7