Question

Question 6 of 10

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

The quadratic parent function is

$f(x)=x^2$

The translation is defined as

$g(x)=k(x+a)^2+b$                 .... (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).

$g(x)=-5(x+(-1))^2+(0)$

$g(x)=-5(x-1)^2$

Therefore the correct option is C.