Please enable JavaScript.
Coggle requires JavaScript to display documents.
CHAPTER 5 ((5A Graphing function (Modulus： f(x)=|x|, Exponential: f(x)=a^x…
CHAPTER 5
5A Graphing function
-
Exponential: f(x)=a^x, a＞0， a≠1
Cubic: f(x) ax^3+bx^2+cx+d, a≠0
Logarithms: f(x)=log10x, b＞0, x＞0
Quadratic: f(x)-ax^2+bx+c, a≠0
-
Reciprocal: f(x)=1/x, x≠0
Rational: f(x)=ax+b/cx+d, x≠-d/c
5E Reflection
-
-
-
another special reflection. if we reflect in y=x, we find the inverse
5D streches
Sketches change the shape of a graph by scaling the distance of each point relative to an invariant axis, on which the points do not change position.
For y=pf(x), the effect of p is to vertically stretch the graph by a scale factor p with invariant x-axis
For y=f(qx), the effect of q is to horizontally stretch the graph by a scale factor 1/q with invariant y-axis
5C Translation
-
for y=f(x)+b, the effect of b is to translate the graph vertically through b units
For y=f(x-a), the effect of a is to translate the graph horizontally through a unit.
For y=f(x-a)+b, the graph is translated horizontally through a units(right), and vertically trough b units(up)
We say it is 
-