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Quadratic Functions

Power Equations The Null Factor Law
Quadratic Equations
$x^2+bx+c=0$ $ax^2+bx+c=0$
The Quadratic Formula worksheet and textbook only Quadratic Functions Factored Form $f\left(x\right)=a\left(x-p\right)\left(x-q\right)$ Factored Form $f\left(x\right)=a\left(x-p\right)^2$ Vertex Form $f\left(x\right)=\left(x-h\right)^2+k$ Completing the Square $x^2+bx+c\rightarrow \left(x-h\right)^2+k$ Vertex Form $f\left(x\right)=a\left(x-h\right)^2+k$ General Form $f\left(x\right)=ax^2+bx+c$ worksheet and textbook only Quadratic Functions and the Discriminant worksheet and textbook only Finding the Equation of a Quadratic Function from a Graph worksheet and textbook only Problems involving Quadratic Functions worksheet and textbook only

The graph of the function $f\left(x\right)=2x^2+px+q$ passes through the point $\left(1,3\right)$ and its vertex lies on the line $y=2x-3$.
Find the two sets of values of $p$ and $q$.

$p=$