Answer:
> The graph of the function is a parabola.
Step-by-step explanation:
1.) The value of f(-10) = 82
-----> This statement is false. You can prove this statement false by plugging the "x" value (-10) into the equation.
f(x) = x² - 5x + 12
f(-10) = (-10)² - 5(-10) + 12
f(-10) = 100 + 50 + 12
f(-10) = 162
2.) The graph of the function is a parabola.
------> The function is a parabola. The highest power any of the variables are raised to is 2. Functions with this characteristic are parabolas.
3.) The graph of the function opens down.
-------> The graph does not open down. Because the coefficient in front of x² is greater than 0, the function opens up.
4.) The graph contains the point (20,-8).
--------> This statement is false. You can prove this statement false by plugging the "x" value (20) into the equation.
f(x) = x² - 5x + 12
f(20) = (20)² - 5(20) + 12
f(20) = 400 - 100 + 12
f(20) = 312
5.) The graph contains the point (0, 0).
--------> This statement is false. You can prove this statement false by plugging the "x" value (0) into the equation.
f(x) = x² - 5x + 12
f(0) = (0)² - 5(0) + 12
f(0) = 0 - 0 + 12
f(0) = 12
