# What are the intercepts for y=4x^2+12x+9?

Unique x-intercept at $x = - \frac{3}{2}$
$y = 4 {x}^{2} + 12 x + 9 = {\left(2 x + 3\right)}^{2}$
There is double root (unique intercept or tangent) at $x = - \frac{3}{2}$.