Correct. If you evaluate $\displaystyle{{b}}^{{2}}-{4}{a}{c}\usepackage{cmbright}\Huge\$ for this equation, you find that $\displaystyle{{\left(-{6}\right)}}^{{2}}-{4}{\left({4}\right)}{\left({2}\right)}={36}-{32}={4}\usepackage{cmbright}\Huge\$ , which is greater than zero. Therefore you know that the quadratic equation has two solutions. Because the coefficient in the first term is positive, you know that the parabola will open upward.