Q. 32 If (3,6)聽is a point on the grap... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 2: Q. 32 (page 113)

If $(3, 6)$ is a point on the graph of $y = f (x)$ , which of the following points must be on the graph of $y = f (- x)$ ?

Short Answer

Expert verified

The point $(- 3, 6)$ lies on the graph of $y = f (- x)$ so the optiond is correct

Step by step solution

Step 1. Given data

The point $(3, 6)$ lies on the graph of the function $y = f (x)$

transformed function is $y = f (- x)$

Step 2. Explanation of correct option D

Point $(3, 6)$ lies on $y = f (x)$

so $f (3) = 6$

$y = f (- x)$ is a reflection of $y = f (x)$ about y-axis

so y coordinate of $y = f (- x)$ at $x = - 3$

$y = f (- x) y = f (- (- 3)) y = f (3) y = 6$

point $(- 3, 6)$ lies on $y = f (- x)$ so option dis correct.

Step 3. explanation of incorrect options

$y = f (- x)$ is a reflection of $y = f (x)$ about y-axis so the point $(- 3, 6)$ will lie on $y = f (- x)$ , not $(3, 6)$ and option ais incorrect
$y = f (- x)$ is a reflection of $y = f (x)$ about y-axis so the point $(- 3, 6)$ will lie on $y = f (- x)$ , not $(6, - 3)$ and option bis incorrect
role="math" localid="1645809944520" $y = f (- x)$ is a reflection of $y = f (x)$ about y-axis so the point $(- 3, 6)$ will lie on $y = f (- x)$ , not $(3, - 6)$ and optioncis incorrect

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91影视

If $(3, 6)$ is a point on the graph of $y = f (x)$ , which of the following points must be on the graph of $y = f (- x)$ ?

Short Answer

Step by step solution

Step 1. Given data

Step 2. Explanation of correct option D

Step 3. explanation of incorrect options

One App. One Place for Learning.

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91影视

If (3,6)is a point on the graph of y=f(x), which of the following points must be on the graph ofy=f(-x)?

Short Answer

Step by step solution

Step 1. Given data

Step 2. Explanation of correct option D

Step 3. explanation of incorrect options

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

If $(3, 6)$ is a point on the graph of $y = f (x)$ , which of the following points must be on the graph of $y = f (- x)$ ?