Consider the linear equation g(x) = −f(x + 3) − 2. choose true or false for each statement. a. when compared to f(x) = x2, g(x) will have a vertical stretch of 3. a true b false b. when compared to f(x) = x2, g(x) will be reflected over the x-axis. a true b false c. when compared to f(x) = x2, g(x) will be translated left 3 units, and down 2 units. a true b false

we are given

we will check each options

(A)

now, we can find g(x)

Since, it is not multiplied to f(x) by 3

so, it is not vertical stretch by 3 units

so, this is FALSE

(b)

now, we can find g(x)

Since, it is -1 multiplied to f(x)

so, it is reflected about x-axis

so, this is TRUE

(c)

now, we can find g(x)

Since, there is (x+3)^2

so, it shifted left side by 3 units

and it is -(x+3)^2 -2

2 is subtracted

so, it is down by 2 units

so, this is TRUE