6
practice testMultiple Choice

Practice Test

Question 6 • Algebra: Concepts and Connections

Consider the quadratic function f of x is equal to 1 fifth x squared minus 5 x plus 12 Which statements are true about the function and its graph? Choose three correct answers.

Answer
A
The graph of the function is a parabola.
B
The graph contains the point 20 comma negative 8 .
C
The graph contains the point 0 comma 0 .
D
The value of f of negative 10 is equal to 82 .
E
The graph of the function opens down.

Explanation

The function is quadratic because it contains an x² term, so its graph is a parabola; this makes B true. Substituting x = −10 gives f(−10) = (1/5)(100) − 5(−10) + 12 = 20 + 50 + 12 = 82, so D is true. Substituting x = 20 gives f(20) = (1/5)(400) − 100 + 12 = −8, so the graph contains (20, −8) and E is true.

AI-written and checked against the verified answer.

Previous
Next