Question

Explain why the graph of k+1" alt="y=2x^{2} +4x-k+1" align="absmiddle" class="latex-formula"> has no x-intercepts when k=-5

Answer 1

Since the equation then turns into y=2x^2+4x+5+1, the +5+1 moves the vertex higher up on the y axis, meaning there would be no x-intercepts