Question

Determine the vertex of the quadratic function y=x²-4x+25

a) (2,21)
b) (2,25)
c) (2,-21)
d) (2,-25)

Answer 1

The vertex of the quadratic function is (2, 21).

Step-by-step explanation:

The vertex of a quadratic function is the point where the function reaches its maximum or minimum value. In this case, the quadratic function is y = x² - 4x + 25.

To determine the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic function. In this case, a = 1, b = -4.

Substituting these values into the formula, we get x = -(-4)/(2*1) = 2.

Now, we can find the value of y by substituting x = 2 into the quadratic equation:
y = (2)² - 4(2) + 25 = 4 - 8 + 25 = 21.

Therefore, the vertex of the quadratic function is (2, 21).