The point a (-5, -2) is reflected over the line y=-1, and then is reflected over the line x= 3. what are the coordinates
a'?

(11,0)

(3,8)

(3,-2)

(-5, 4)

The final image point will be (11,0).

Step-by-step explanation:

If point A(-5,-2) is reflected over the line y = -1, then the image point will be A'(-5,0).  

So, the midpoint of A and A' will be on the line y = - 1 and since the reflection is about a line parallel to the x-axis, so the x-coordinate will not change for A'.

Again, if point A'(-5,0) is reflected over the line x = 3, then the image point will be A"(11,0).

Here, the midpoint of points A' and A" will be on the line x = 3 and since the line x = 3 is parallel to the y-axis, so the y-coordinate will not change. (Answer)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1