Answer:
<h2>The graph of y = 2x² + 5x + 9 has zero x-intercepts.</h2>
Step-by-step explanation:
x-intercepts are for y = 0.
Put y = 0 to the equation y = 2x² + 5x + 9:
2x² + 5x + 9 = 0
Calculate the discriminant of quadratic equation ax² + bx + c = 0:
Δ = b² - 4ac
if Δ < 0, then an equation has no solution
if Δ = 0, then an equation has one solution
if Δ > 0, then an equation has two solution.
2x² + 5x + 9 = 0
a = 2, b = 5, c = 9
Δ = 5² - 4(2)(9) = 25 - 72 = -47 < 0 - no solution
