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Sagot :
Answer:
The correct option is C.
Step-by-step explanation:
The quadratic parent function is
[tex]f(x)=x^2[/tex]
The translation is defined as
[tex]g(x)=k(x+a)^2+b[/tex] .... (1)
Where, k is vertical stretch, a is horizontal shift and b is vertical shift.
If |k|>1, then graph of parent function stretch vertically by factor |k| and if 0<|k|<1, then parent function compressed 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.
The graph shift 1 unit right,vertically stretch by a factor of 5 , reflect over the x-axis. So, a=-1, |k|=5 and k=-5
Substitute a=-1 and k=5 in equation (1).
[tex]g(x)=-5(x+(-1))^2+(0)[/tex]
[tex]g(x)=-5(x-1)^2[/tex]
Therefore the correct option is C.
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