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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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