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Quadratic Functions Exercise 1 - Find The Standard Form

Given that  f(x) = 2x2 - 6x + 4 , write f(x) in standard form by completing the square. Then graph f(x). The justification for the required steps is given - no further justification is needed.
 

STATEMENT JUSTIFICATION
f(x) = 2x2 - 6x + 4 Given

Use Distributive Property to factor out leading coefficient from 1st two terms.

Complete Square inside parentheses. Subtract equivalent amount from 4.

Simplify to write in Standard Form,
y=a(x - h)2 + k.

Graph by applying Function Shift Rules.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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