How do you find the y intercept for y = 1/2 (x-4)^2 +18?

Oct 2, 2015

y-intercept: $26$

Explanation:

The y-intercept is the value of the expression when $x = 0$

$y = \frac{1}{2} {\left(x - 4\right)}^{2} + 18$ with $x = 0$

$\rightarrow y = \frac{1}{2} {\left(0 - 4\right)}^{2} + 18$

$\textcolor{w h i t e}{\text{XX}} = \frac{1}{2} \left(16\right) + 18$

$\textcolor{w h i t e}{\text{XX}} = 8 + 18$