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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

User Isuruceanu
by
8.5k points

2 Answers

3 votes

Answer:

The answer is c

Explanation:

User Swapnil Gandhi
by
7.6k points
5 votes

Answer:

Option C. y= ( -x)^2 -4

Explanation:

If we have a function
f(x) = ax ^ 2 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:


g(x) = f(x) -c

In this case we want to move the function 4 units down, then:


g(x) = f(x) -4\\\\g(x) = x ^ 2 -4

Finally, to reflect the function on the y-axis. must do
y = g(-x)

Then we have the following function:


g(-x) = (-x) ^ 2 -4\\\\y = (-x) ^ 2 -4

The answer is option C

User Omroy
by
7.6k points

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