13
practice testMultiple Choice

Practice Test

Question 13 • Algebra I

The function f of x is equal to negative 3 x squared plus 36 x minus 119 written in vertex form is f of x is equal to negative 3 times open paren x minus 6 close paren squared minus 11 Which statements are true about the graph of f of x ? Choose three correct answers.

Answer
A
The parabola opens down.
B
The vertex of the graph is at negative 6 comma negative 11 .
C
The axis of symmetry is the line x is equal to 6 .
D
The parabola has a minimum.
E
The value of h , when the equation is written in vertex form, is positive.

Explanation

In vertex form, f(x) = a(x − h)² + k, the coefficient a = −3, so the parabola opens down. The axis of symmetry is x = h = 6, and h is positive. The vertex is (6, −11), so the graph has a maximum, not a minimum.

AI-written and checked against the verified answer.

Previous
Next