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IGCSE
IB Math AA SL
IB Math AA HL
Challenges
Chapter 21: Quadratic Equations and Functions
(21A) Quadratic Equations
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(21B) The Null Factor Law
(21C) The Quadratic Formula
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(21D) Quadratic Functions
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(21E) Graphs of Quadratic Functions
(21E) Graphs of Quadratic Functions in the form $f\left(x\right)=\left(x-h\right)^2+k$
(21E) Graphs of Quadratic Functions in the form $f\left(x\right)=a\left(x-h\right)^2+k$
(21E+) Completing the Square $x^2+bx+c\rightarrow \left(x-h\right)^2+k$
(21E+) Completing the Square $ax^2+bx+c\rightarrow a\left(x-h\right)^2+k$
(21F) Axes Intercepts
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(21E+) Factored Form $f\left(x\right)=a\left(x-p\right)\left(x-q\right)$
(21E+) Factored Form $f\left(x\right)=a\left(x-p\right)^2$
(21G) Line of Symmetry and Vertex
(21H) Finding a Quadratic Function
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 $q$.
$p=$