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graphing quadratic, chapter 14 (features (shape (parabola), axis of…
graphing quadratic, chapter 14
features
shape
parabola
axis of symmetry
meets the parabola-vertex
equation
standard form
\(y=a(x-h)^{2}+k\)
vertex: (h,k)
axis of symmetry: \(x=h\)
if "a" negative open down, if positive, open up
larger "a" narrower the parabola
if y is squared instead
\(x=a(y-k)^{2}+h\)
circles
(h,k) is vertex
point or circle if in this form
\(Ax^{2}+Bx+Ay^{2}+Cy=D\)
r=radius
standard form
\((x-h)^{2}+(y-k)^{2}=r^2\)
strategies
use all information in the question:
find intersection points of graphs is finding ordered pairs that satisfy equation