The parabola shown above has its minimum point at (0.5, -16). What is its equation?
f(x)= -4x2 - 4x - 15
f(x)= -4x2 + 4x - 15
f(x)= 4x2 - 4x - 15
f(x)= 4x2 + 4x - 15
Thank you for the opportunity to help you with your question!
A minimum point occurs when the coefficient of x² (the number in front of x² is positive
so the answer is either C or D.
The easiest way to check is to get the answer is to check if (0.5, -16) lies on C or D
It lies on C because 4 (0.5)² - 4 (0.5) -15 = 1 - 2 -15 = -16 so (0.5, -16) lies on this parabola.
You can also get the answer by completing the square (2x -1)² -16
or by differentiating.
Let me know if you want me to do this too.
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