Question

Find the vertex of the function f(x)=3x ² −18x+20.

A) (3,−8)
B) (3,2)
C) (6,−28)
D) (6,2)

Answer 1

The vertex of the quadratic function f(x) = 3x² - 18x + 20 is (3, -25).

Step-by-step explanation:

To find the vertex of the quadratic function f(x) = 3x² - 18x + 20, we can use the formula x = -b/2a. In this case, a = 3 and b = -18. Plugging these values into the formula, we get x = -(-18)/2(3) = 18/6 = 3.

To find the y-coordinate of the vertex, we substitute the value of x = 3 into the function: f(3) = 3(3)² - 18(3) + 20 = 9 - 54 + 20 = -25. Therefore, the vertex of the function is (3, -25).