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

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

The graph of the function is a parabola → true

____

• The value of f(–10) = 82 → false

`f(-10) = (-10)^(2) -5(-10) + 12 = 100+50+12 = 162 \\eq 82\\`

• The graph of the function opens down → false

• The graph contains the point (20, –8) → false

`f(20) = (20)^(2) -5(20) + 12 = 400-100+12 = 312 \\eq - 8\\`

• The graph contains the point (0, 0) → false

`f(0) = 0^(2) -5(0) + 12 = 0 - 0 + 12 = 12 \\eq 0\\`