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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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

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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

Applied Mathematics

Discrete Mathematics

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Calculus

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 $y = f (- x)$ ?