The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .
In the question ,
it is given that ,
the quadratic function is f(x) = x² – 5x + 12 .
for x = -10 ,
f(-10) = (-10)² – 5(-10) + 12
= 100 + 50 + 12
= 162
option(a) is false .
the graph of the quadratic function is shown below .
form the graph we can see that the graph is a parabola ,
and the function opens upwards ,
the graph does not contain the points (20,-8) and (0,0)
Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .
The given question is incomplete , the complete question is
Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?
(a) The value of f(–10) = 82
(b) The graph of the function is a parabola.
(c) The graph of the function opens down.
(d) The graph contains the point (20, –8).
(e) The graph contains the point (0, 0).
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