Changing a standard form to factored and then to vertex and finding the Y-intercept, X-intercept, and Vertex

Standard Form Equation

Vertex Form Equation

Factored Form Equation

Vertex using

Vertex is (h,k) from equation.

Vertex is the average of the x-intercepts p&q to get h, then plug in h (as x) to find k (which is a y-value).

y-intercept is the c.

y-intercept: solve using x=0

x-intercept(s) when y=0:

*discriminant will tell type

*factor and zpp

*if it fails to factor, QF

*if it has no x term, isolate x using algebra

*isolate x using algebra

*use zero product property to find p&q

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