Using the equation y = 2x + 5, what would the input need to be for an output of -5?
2 answers:
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Answer:
The graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left 3 units down.
Step-by-step explanation:
The parent function is
The given function is
If an expression is , then we have to add
in it to make it perfect square.
In the parenthesis the value of b is 10.
Add and subtract 25 in the parenthesis.
.... (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.
Negative k represents the reflection across x-axis.
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.
From (1) and (2) it is clear that k=-2, a=5 and b=-3.
It means graph of parent function reflected across x-axis, vertically stretched by factor 2 and shift 5 units left, 3 units down.
