Explain why the graph of y=2x^(2) +4x-k+1 has no x-intercepts when k=-5

Question

Explain why the graph of
`y=2x^(2) +4x-k+1` 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