Answer:
(1, 0)
Step-by-step explanation:
To find the vertex of a quadratic function use the formula: x = -b/2a to find the x-value, which is "h" in (h, k).
The a-value is 2 and the b-value is -4. Substitute these values into the formula to find the x coordinate of the vertex.
Two negatives make a positive so the -(-4) becomes a 4, and 2 * 2 is 4.
- x = 4/4 which simplifies to 1.
To find the y-coordinate (k) substitute 1 for x into the original equation.
Evaluate the exponent.
Multiply 2 and -4 by 1.
Simplify by combining like terms.
You have x = 1 and y = 0, which is (x, y) ⇒ (h, k) so the vertex coordinates are (1, 0).
