Question

43 In Problem 42, given (a,b) point on the graph of each that of y=f(x) shifted to the of y=f(x+2) is (a – 2,b). Ancu Ven (a, b) is a point on the graph of y = f(x), find the corresponding graph of each new equation. For example, the graph of y=f(x+2) is y=f(x) shifted to the left two units. So the corresponding point on the graph ( 1 ) 26). f. (-a,b+3),

Answer 1

The rules for the graphical transformations are: - Let y = f(u) be the original function, To shift the graph m units upward, transformation ii) To shaft 11) To shift the graph m units downward, tranformation used is f(n)-m the graph m units towards left, transformation used is flutm) the graph m units towards right, transformatia used is fluom) nift

Vy original To make one, the the amplitude transforation in times used is the m

S. No o is Original (a, b) Point Shift) New point m I (a, b tm) (a, b-m) (a-m, b) li (a,b) ii) (a,b) iv) (a,b) vy (a,b) (arm, b) Im fimil (a, mb)
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