4
QuizMultiple Choice

Completing the Square (Continued) — Quiz

Question 4 • Algebra I

The function g of x is equal to 10 x squared minus 100 x plus 213 written in vertex form is g of x is equal to 10 times open paren x minus 5 close paren squared minus 37 Which statements are true about g of x ? Choose three correct answers.

Answer
A
The value of A , when the equation is written in vertex form, is negative.
B
The parabola opens up.
C
The axis of symmetry is the line x is equal to negative 5 .
D
The parabola has a minimum.
E
The vertex of the graph is 5 comma negative 37 .

Explanation

In vertex form, g(x) = 10(x − 5)² − 37, so the coefficient A is 10, which is positive. A positive coefficient means the parabola opens up and has a minimum. The vertex is (5, −37), so the axis of symmetry is x = 5, not x = −5.

AI-written and checked against the verified answer.

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