12
QuizMultiple Choice

Completing the Square (Continued)

Question 12 • *Integrated Math II Full

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

Answer
A
shifted up 3 units
B
shifted left 7 units
C
shifted right 7 units
D
shifted down 3 units

Explanation

Complete the square: g(x) = 2x² − 28x + 3 = 2(x − 7)² − 95. The (x − 7) inside the squared term means the graph is shifted right 7 units. The +3 in the original expression does not mean the graph is shifted up 3, because the −28x term also affects the vertex.

AI-written and checked against the verified answer.

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