Let y=2x2+4x+5.
a. (i) Show that the quadratic equation 2x2+4x+5=0 has no real roots.
b. (ii) Find the y-intercept of the graph.
c. (iii) Calculate the value of the polynomial at x=−1 and plot the three points obtained so far.
d. (iv) Sketch the graph of the polynomial, clearly indicating its position with respect to the x-axis.