Question

Which graph best represents the following equation

Y+4=|x+2|

Answer 1

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3.8 Functions, Equations, and Graphs - Part 1

18/18 (100%)

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1. Which set of ordered pairs in the form of (x, y) does not represent a function of x?

• D) {(0, 2), (1, 2), (1,-2), (3,2)}

2. What is (are) the x-intercept(s) of the function graphed above?

• B) -3, 0, and 4

3. What is f(-5) if f(x) = |2x - 1| + 10

• A) 21

4. Which does not describe the same situation?

• D) x: -2, 1, 3; y: 7, 8, 18

5. Which is an equation of the line in slope-intercept form?

m = 4 and the y-intercept is (0, 5)

• C)
  `y=4x+5`

6. Write the equation in slope-intercept form. What are the slope and y-intercept?

-5x - 12y = 11

• C)
  `y=-(5)/(12)x -(11)/(12); slope: (5)/(12); y-intercept: (11)/(12)`

7. Which graph best represents the equation x + 2y = 4?

• Graph C

8. Which equation best represents the line graphed above?

• C)
  `y=3x+1`

9. Which equation best represents the line graphed above?

• B)
  `x=-4`

10. Which graph best models the relationship in the table?

• Graph A

11. Which procedure could be used to graph the following equation?

`y = (1)/(4)x - 1`

• A) Plot the y-intercept (0, -1) and use the slope of
  `(1)/(4)` to find the second point.

12. Which equation defines the graph of
`y = x^2` after it is shifted vertically 3 units up and horizontally 2 units right?

• C)
  `y = (x - 2)^2+3`

13. The graph of
`y = x^2` is shown below. If graphed on the same grid, which of the following could be the graph
`y = 0.25x^2`?

• Graph C

14. Which equation best represents the graph shown above?

• B)
  `y=(x-1)^2`

15. Which of the following shows the graph of the inequality
`y > x+3`?

• Graph B

16. Which of the following inequalities is shown in the graph?

• D)
  `y\leq (5)/(2)x+5`

17. An electronics store makes a profit of $25 for every portable DVD player sold and 455 for every DVD recorder sold. The managers....

• B)
  `25p+55r\geq 225`

18. Which graph best represents the following equation?

• Graph C

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Hope this helps!

Answer 2

The first one as when |x+2| the graph would be from x=-2 "shifting left by 2" and then we subtract 4 from both sides so Y=|x+2|-4 and this accounts for shifting the graph four units down.