# how to draw functions on a coordinate plane, and he

how to draw functions on a coordinate plane, and he mentioned something about the Y-Intercept being an important step in creating/solving a function. But, what exactly is a Y-Intercept?
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The y-intercept of a function $f\left(x\right)$ is the point where the function intersects the y-axis (if in fact it does intersect the y-axis) and it is found by evaluating $f\left(0\right)$, i.e., finding the value of $f\left(x\right)$ when $x=0$.
For example,
- The line $f\left(x\right)=y=3x+2$ intersects the x-axis at when $x=0:\phantom{\rule{thickmathspace}{0ex}}$:when $\phantom{\rule{thickmathspace}{0ex}}y=3\cdot 0+2=2$. This is the function's y-intercept.
- The parabola $f\left(x\right)=y=2{x}^{2}+8$ intersects the y-axis when $x=0:\phantom{\rule{thickmathspace}{0ex}}$:when $\phantom{\rule{thickmathspace}{0ex}}y=2\left(0{\right)}^{2}+8=8$. This is the function's y-intercept.