Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in t
1 answer:
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Given that:
Parent equation :
Transformed function :
Solution:
Let Parent equation be . Then,
...(1)
The translation is defined as
.... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
, So graph of parent function compressed vertically by factor
.
, so the graph of parent function shifts 32 units right.
, so there is no vertical shift.
Therefore, the graph of parent function compressed vertically by factor and shifts 32 units right to get the graph of c(x).