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Unit 4: Quadratic Functions

(3.5) Solving Quadratic Equations (3.4) What is a Quadratic Function? (3.4) Graphing Quadratic Functions worksheet and textbook only (3.4) Factored Form $f\left(x\right)=a\left(x-p\right)\left(x-q\right)$ (3.4) Factored Form $f\left(x\right)=a\left(x-p\right)^2$ (3.4) Vertex Form $f\left(x\right)=\left(x-h\right)^2+k$ (3.4) Vertex Form $f\left(x\right)=a\left(x-h\right)^2+k$ (3.4) General Form $f\left(x\right)=ax^2+bx+c$ (3.4) Finding a Quadratic Function from its Graph (3.6) The Quadratic Formula and the Discriminant (3.6) Quadratic Inequalities (3.7) Applications of Quadratic Functions

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 $q$.

$p=$