Quadratic Function Notation

Given f(x) = 5 - x², find f(3). 

• f(3) = -4

• f(3) = -45

Given f(x) = x² - 7x, find f(8).  

• f(8) = 8 

• f(8) = -3584

Given f(x) = 2x² + 5x - 17, find f(-1). 

• f(-1) = -20

• f(-1) = -24

What kind of function is this?

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

The vertex of this quadratic is...

• (1,16)

• (-3,0)

• (5,0)

• (0,15)

Let f(x) = x². If f(x) is vertically compressed, let g(x) be the result of the transformation of f(x).

g(x) could be expressed as ...

• 5f(x)

• f(x) + 5

• 0.333f(x)

• f(x + 5)

Which describes the transformation of f(x) = x² to the graph of g(x) = ¹/₄x²?

• vertical stretch

• horizontal stretch

• vertical compression

• horizontal compression

Which describes the transformation of 
f(x) = x² to the graph of g(x) = -x²?

• reflection across x-axis

• reflection across y-axis

• vertical compression

• horizontal compression

Which describes the transformation of f(x) = x² to the graph of g(x) = 4x²?

• vertical stretch

• horizontal stretch

• vertical compression

• horizontal compression

Which describes the transformation of f(x) = x² to the graph of g(x) = -4x²?

• vertical stretch

• horizontal stretch

• vertical compression

• horizontal compression

• reflection about the x-axis