Question

What are the coordinates of the maximum or minimum value for the graph of the function x² - 4x +7 = y?
(-2, 3)
(2, -3)
(-2, -3)
(2, 3)

Answer 1

Answer:

The vertex is (2,3)

The minimum value is 3

Step-by-step explanation:

The given function is $y=x^2-4x+7$

We complete the square to obtain the vertex form of the function.

$y=x^2-4x+4-4+7$

$y=(x-2)^2+3$

The vertex is (2,3)

The coefficient of the quadratic term is >0 therefore the vertex is the minimum point.