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Chapter 1: More on quadratic equations and quadratic functions - Coggle…
Chapter 1: More on quadratic equations and quadratic functions
quadratic functions
key features
x-axis
y=0
y-intercept
x=0
the point where the graph cut y-axis
parabola shape
a>0
opens upwards
a<0
opens downwards
line of symmetry
x=-b/2a
turning point
a>0
minimum point
a<0
maximum point
y=(x-h)^2+k
(h, k)
definition
quadratic equations
solving methods
completing the square
Rearrange the equation into the form
quadratic formula
root>0
factorization
factorize into 2 brackets
solve x by setting each factor to 0