Question

What is the vertex of the quadratic function ƒ(x) = 2x2 4x 3?

a) (3,0)
b) (–1,1)
c) (0,3)
d) (1,–1)

Answer 1

The vertex of the quadratic function is (1, 1).

Step-by-step explanation:

The vertex of a quadratic function is given by the formula (h, k), where h is the x-coordinate and k is the y-coordinate. For the quadratic function ƒ(x) = 2x^2 - 4x + 3, we can find the x-coordinate of the vertex using the formula x = -b/2a. Plugging in the values a = 2 and b = -4, we get x = -(-4) / (2 * 2) = 1. Substituting x = 1 into the function, we get the y-coordinate of the vertex: ƒ(1) = 2(1)^2 - 4(1) + 3 = 1.

Therefore, the vertex of the function is (1, 1).