Chapter 2: Q. 17 (page 113)

In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

Short Answer

Expert verified

The given graph is matched to the function $G . y = |x - 2| .$

Step by step solution

Step 1. Given Information

There is the given graph we have to match each graph to its functions.

Step 2. Identifying the function of the graph

The given graph is similar of the function $y = |x|$ but it is shifted horizontally to the right by $2$ units.

If the argument x of a function f is replaced by $x - h, h > 0,$ the graph of the new function $y = f (x - h)$ is the graph of f shifted horizontally right hunits.

Since the graph of $y = |x|$ is shifted horizontally right by $2$ units.

The function of the given graph is $y = |x - 2|$ that matched to the option G.

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In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Identifying the function of the graph

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In Problems 7–18, match each graph to one of the following functions:A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Identifying the function of the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Probability and Statistics

Statistics

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Study anywhere. Anytime. Across all devices.

In Problems 7–18, match each graph to one of the following functions:
$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$