# Intersections of Quadratic Graphs

Consider the graphs of a quadratic function and a linear function on the same set of axes. cutting2 points of intersection $b^2-4ac \gt 0$ touching1 point of intersection $b^2-4ac = 0$ missingno points of intersection $b^2-4ac \lt 0$ In the graphs meet, the coordinates of the points of intersection of the graphs can be found […]

# X-intercepts Y-intercepts

$x$-intercepts when $y=0$ $y$-intercepts when $x=0$ Example 1 Sketch the graphs of $y=x^2+x-2$ by stating $x$- and $y$-intercepts. $x$-intercepts when $y=0$ \begin{align} \displaystyle x^2+x-2 &= 0 \\ (x+2)(x-1) &= 0 \\ x &= -2, 1 \\ \end{align} $y$-intercepts when $x=0$ \begin{align} \displaystyle y &= 0^2+0-2 \\ &= -2 \\ \end{align} Example […]