Question

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answer 1

Only one choice is True: the graph is a parabola.

Explanation:

f(x) = x^2 - 5x + 12

f(-10) = (-10)^2 - 5(-10) + 12

= 100 + 50 + 12

= 162 so f(-10) = 82 is FALSE.

The graph is a parabola:

TRUE

The graph opens up ( as coefficient of x^2 is positive. FALSE

Plug in (20, -8):

(-8) = 20^2 - 5(20) + 12

= 400 - 100 + 12 = 312 FALSE.

The graph contains (0,0) : FALSE

( as (0)^2 - 5(0) + 12 = 12..