Question

How do you find the y-intercept of `y = x^2 - 4x + 4`?

Answer 1

y-intercept`=`4

Explanation:

Since any y-intercept has an x-coordinate of `0`, substitute `0` as your `x` value into the equation and solve for `y`:

`y=x^2-4x+4`
`y=(0)^2-4(0)+4`
`y=0-0+4`
`y=4`

A quicker approach would be to look at the `c` value of the equation, which is also the y-intercept. Recall that the standard form of a quadratic equation is written like:

`y=ax^2+bx+c`

Thus, by looking at the equation, you can tell that the y-intercept is `4`.