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

Explanation:

f(x) = x^2 – 5x + 12

The value of f(–10) = 82? NO

f(-10) = (-10)^2 – 5(-10) + 12

f(-10) = 100 + 50 + 12

f(-10) = 162

NO

The graph of the function is a parabola. YES

See attached graph.

YES

The graph of the function opens down. NO

See attached graph.

The graph contains the point (20, –8). NO

See graph

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Plus we can use x=20 in the function and see if it returns -8:

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

f(20)=(20)^2-5*(20)+12

f(20) = 400 - 100 + 12

f(20) = 312 It does not result in -8

The graph contains the point (0,0). NO

See graph