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

ABC

Explanation:

Answer 2

The only true statement is :

The graph of the function is a parabola

Explanation:

f(x) = x² – 5x + 12

Option 1: The value of f(–10) = 82

Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82

Option 2: The graph of the function is a parabola
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Option 3: The graph of the function opens down

Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.

Option 4: The graph contains the point (20, –8)

Reason : f(20) = 312 ≠ -8

Option 5: The graph contains the point (0, 0)

Reason : f(0) = 12 ≠ -8