Question

What is the vertex of the graph of the function below ?
y=x^2-4x+3

Answer 1

Answer:
The vertex is (2, - 1)

Step-by-step explanation:
To find the vertex of a parabola in the form of y = ax² + bx + c, we use the formula
`(-b)/(2a)` to solve for variable x and then plug it into the original equation to solve for y. The result is the desired ordered pair.

In the equation y = x² - 4x + 3, the b term is -4 and the a term is an invisible 1 in front of the variable x².

So
`(-(-4))/(2(1)) = (4)/(2) = 2`

Now we plug x = 2 into the original equation, follow the ordered of operations (PEMDAS), and solve.
y = (2)² - 4(2) + 3
y = 4 - 4(2) + 3
y = 4 - 8 + 3
y = -4 + 3
y = -1

Place them together in a (x, y) ordered pair, and the vertex is (2, -1).