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Quadratics - Algebraic Perspective, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> descriminant: </mtext> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </math> if the answer is > 0 then 2 x-intercepts, > 0 then 2 x-intercepts which you will find using <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> quadratic formula: x = </mtext> <mfrac> <mrow> <mtext> -b ± </mtext> <msqrt> <mrow> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> <mtext> 2a </mtext> </mfrac> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> descriminant: </mtext> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </math> if the answer is = 0 then the vertex and x-intercept are the same, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> descriminant: </mtext> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </math> if the answer is < 0 then there are no x intercepts and you are in the complex # system, Quadratics - Algebraic Perspective are written in the form <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> F(x) = a </mtext> <mmultiscripts> <mtext> x </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + bx +c </mtext> </mrow> </math>, solve algebraically examine the <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> descriminant: </mtext> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> descriminant: </mtext> <mmultiscripts> <mtext> b </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </math> is the x axis intercepts (graphical connection)