Question

https://dlap.gradpoint.com/Resz/~0.WwUCe2hTJzsvf9pB.ngrT9D4Vm3j1ZRkgKXKc6JX4gqVLs56plc8Yyh2Df3A/7234256,C03/Assets/questions/test/algebra_2/alg2abfu/mc094-1.jpg

Which equation is represented by the table?

Answer 1

y=-|x-3|-3

y=|x+3|-3

y=|x-3|-3

y=-|x+3|-3

Answer 2

The equation seems to go up and then down linearly, similar to an Absolute Value function.
However, a normal Absolute Value function, like y = |x| would go down and then up, in the opposite direction. So, we know that this function must be multiplied by a negative.

Also, an Absolute Value function would be normally centered on the origin (0,0). Based on this graph, it seems like the function is centered on the point (3,-3).

We've made the observations that the function is based on Absolute Value, it is multiplied by a negative, and it is centered on (3,-3). Do you know how we would adjust the equation based on these details?

Answer 3

Do to the absolute value, it would lead to the answer is A

Answer 4

Very good. I'm not sure how you got the answer, but I think you are correct!
In fact, if you plug in the values of "x" from the table, equation A will give you the correct values for "y", which is one way you can check your work possibly.
Again, good job.

Answer 5

Thank oyu so much