Geometry
# Conic Sections

What is the range of $a$ such that the roots of $2x^2+ax+17=0$ are larger than $-17?$

$y=3x^2-5x+2$ and a line that passes through $(-2,0)$ on the coordinate plane. If the parabola and line intersect at exactly two distinct points, what is the possible range for the slope $m$ of the line?

Consider a parabolaFind the vertex of the parabola $y=4x^2+5x+5.$