Which function transforms the graph of y= x^2 so that it is first shifted down 4 units and its then reflected across the y- axis
?
A. y= -x^2 +4
B. y= -x^2 - 4
C. y= ( -x)^2 -4
D. y= - ( x + 4 )^2
1 answer:
Answer:
Option C. y= ( -x)^2 -4
Step-by-step explanation:
If we have a function and we want to transform it into a function g(x) that is equal to f(x) displaced c units down on the y-axis, then we must do:
In this case we want to move the function 4 units down, then:
Finally, to reflect the function on the y-axis. must do
Then we have the following function:
The answer is option C
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