how to i graph the inequality :

y<x squared - 3x + 15
whats my x and whats my y ? should i factor ?

3 answers

To graph the inequality, graph :
Y= x^2 - 3x + 15 = 0,

Step 1. Find the coordinates (h,k) of
the vertex:
h = Xv = -b/2a = 3/2 = 1.5,
Substitute 1.5 for x in the guad. Eq:

k = Yv = (1.5^2) - 3*1.5 + 15 = 12.75,

V(1.5 , 12.75),

Step 2. Select values of x above and
below h(Xv) and cal. the corresponding value of y:

(-1 , 19), (0 , 15), (1 , 13), (1.5 , 12.75), (2 , 13), (3 , 15).

The parabola does not cross the x-axis.
Therefore, there are no real solutions.
But we have 2 imaginary solutions(roots) which can be cal. using the
quadratic formula.
Take the corresponding number of every letter and the alphabet and add, but this is impossibru so I'm out, PEACE
good mornin
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