Graph the quadratic inequality. y> x^2-3x+5

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graphing quadratic inequalities

a quadratic inequality of the form

y> ax2+bx+c

(or substitute < ,≥ or ≤ for > ) represents a region of the plane bounded by a parabola .

to graph a quadratic inequality, start by graphing the parabola. then fill in the region either above or below it, depending on the inequality.

if the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line.

otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary.

example:

graph the quadratic inequality.

y≤x2−x−12

the related equation is:

y=x2−x−12

first we notice that a , the coefficient of the x2 term, is equal to 1 . since a is positive, the parabola points upward.

the right side can be factored as:

y=(x+3)(x−4)

so the parabola has x -intercepts at −3 and 4 . the vertex must lie midway between these, so the x -coordinate of the vertex is 0.5 .

what's the question?

step-by-step explanation:

there is no question.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value