Question

Algebra 2: answer these three questions. all of the questions are in the picture below

Answer 1

1)

i) Reflection about y axis i.e. x=0

ii) Horizontal shrink by scale factor 4

iii) vertical shift by 4 units up.

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2) f(x) passes through (1,-1) and (0,1)

So slope = (1+1)/(0-1) = -2

Using point slope form equation of f(x) is

y-1 = -2 (x-0) or y = -2x+1

g(x) passes through (0,-1) and (1,1)

Slope = (2/1) = 2

So using point slope form g(x) is

y-1=2x  

Hence we find that y-1 = -2x is transformed into y-1 = 2x

i.e. there is a reflection of f(x) on the line y =1

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