Question

Find the y-intercept for the parabola defined

by this equation:
y = x2 + 8x + 12
Separate the values with a comma.

Answer 1

well, we can find the y-intercepts by simply setting y = 0 and solving for "x"

`\stackrel{y}{0}~~ = ~~x^2+8x+12\implies 0=(x+2)(x+6)\implies x= \begin{cases} -2\\\\ -6 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (-2~~,~~0)\hspace{5em}(-6~~,~~0)~\hfill`