78.9k views
1 vote
Which equation is represented by the table?

Which equation is represented by the table?-example-1
User Haran
by
8.5k points

1 Answer

5 votes

Answer:


y=-|x-3|-3

Explanation:

The table shows values of
y for different values of
x.

Let us test each equation with the values given in the table.

Equation 1:
y=|x+3|-3

For
x = 1, we get,


y=|x+3|-3=|1+3|-3=|4|-3=4-3=1

So, we got 1 for
y. But as per table, value of
y should be -5.

So, equation 1 is incorrect.

Equation 2:
y=-|x-3|-3

For
x = 1, we get,


y=-|x-3|-3=-|1-3|-3=-|-2|-3=-(2)-3=-5

So, we got -5 for
y. It matches with the value of table.

Let us check for another value of
x in order to confirm.

For
x =2, we get,


y=-|x-3|-3=-|2-3|-3=-|-1|-3=-(1)-3=-4

So, we got -4 for
y. It matches with the value of table.

So, equation 2 is the correct answer.

We can be completely sure by checking the remaining equations too.

Equation 3:
y=|x-3|-3

For
x = 1, we get,


y=|x-3|-3=|1-3|-3=|-2|-3=2-3=-1

So, we got -1 for
y. But as per table, value of
y should be -5.

So, equation 3 is incorrect.

Equation 4:
y=-|x+3|-3

For
x = 1, we get,


y=-|x+3|-3=-|1+3|-3=-|4|-3=-4-3=-7

So, we got -7 for
y. But as per table, value of
y should be -5.

So, equation 4 is incorrect.

User Hari Menon
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories