# How do you find the x and y intercept for y = x^2 - 4x + 4?

May 8, 2016

$x -$ intercept is at 2. and $c = 4$, the (y-intercept)

#### Explanation:

To find the $y -$intercept is really easy ... it is the constant.
It is found by making $x = 0 \text{ }$ So, $c = 4$

To find the $x -$intercept, make $y = 0$ and solve the equation.

This is the equation of a parabola,
$\Rightarrow$ there could be two, one or no $x -$intercepts.

${x}^{2} - 4 x + 4 = 0$

This factorises: $\left(x - 2\right) \left(x - 2\right) = 0$

Although this gives two answers, they are the same: $x = 2$,

so there is actually one intercept on the $x -$axis, which means that the intercept is also the vertex (turning point) of the graph.