Question 704649
y=2(x+4)^2+3

y=2(x^2+8x16)+3

y=2x^2+16x+32+3

y=2x^2+16x+35

to find X intercept plug y=0

2x^2+16x+35=0

solve by quadratic formula
b^2-4ac <0
x values are not real


{{{drawing(300,300,-10,10,-10,10,graph(300,300,-10,10,-10,10,y=2x^2+16x+35))}}}

therefore the graph has no X intercepts.