Question

What is the x-intercept of the graph of `y=x^2-4x+4`?

Answer 1

x intercept is 2

Explanation:

`y = x^2 -4x + 4`

To find the x-intercept , find the value of x at y = 0

At y = 0; `x^2 -4x +4 = 0`
It is a quadratic equation. It is a perfect square.
`x^2 -2x - 2x +4 = 0`
x (x -2) -2(x - 2) = 0
(x -2) (x -2) = 0
x = 2

x intercept is 2

graph{x^2-4x+4 [-10, 10, -5, 5]}