Question

Find the vertex of the graph of the quadratic function by completing the square or using the vertex formula.

f(x) = 2x^2 - 12x+9 The vertex is (Type an ordered pair.)
a. (3, -15)
b. (6, -27)
c. (4, -19)
d. (5, -21)

Answer 1

The vertex of the graph of the quadratic function f(x) = 2x^2 - 12x + 9 is (3, -15).

Step-by-step explanation:

To find the vertex of the quadratic function f(x) = 2x^2 - 12x + 9, we can use the vertex formula. The vertex formula is x = -b/2a, where a and b are the coefficients of the quadratic function. In this case, a = 2 and b = -12. Plugging these values into the formula, we get x = -(-12)/(2*2) = 3. The y-coordinate of the vertex can be found by substituting the value of x back into the equation, f(3) = 2(3)^2 - 12(3) + 9 = -15. Therefore, the vertex of the graph of the quadratic function f(x) = 2x^2 - 12x + 9 is (3, -15).