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 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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