Chapter 1: Q 9. (page 51)

List the intercepts and test for symmetry: $x^{2} + y = 9$ .

Short Answer

Expert verified

The equation is identical to the original equation it is symmetric to $y$ axis.

The graph if the line shown below.

Step by step solution

Step 1. Given information.

Consider the given equation $x^{2} + y = 9$ .

Step 2. If x,y exist on graph then the graph is symmetric about x-axis ,y-axis and origin.Showing the line is symmetric about y axis.

To show that the line is symmetric to $y$ axis put $- x$ in place of $x$ .

$y = - {(- x)}^{2} + 9$

$y = - x^{2} + 9$

Since the equation is in original form so it is symmetric to $y$ axis.

Step 3. List the intercept.

$x$	$y$	$(x, y)$
$0$	$9$	$(0, 9)$
$1$	$8$	$(1, 8)$
$2$	$5$	$(2, 5)$
$3$	$0$	$(3, 0)$

Step 4. plot the graph.

The graph for the given equation $x^{2} + y = 9$ is shown below.

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List the intercepts and test for symmetry: $x^{2} + y = 9$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. If x,y exist on graph then the graph is symmetric about x-axis ,y-axis and origin.Showing the line is symmetric about y axis.

Step 3. List the intercept.

Step 4. plot the graph.

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List the intercepts and test for symmetry:x2+y=9.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. If x,y exist on graph then the graph is symmetric about x-axis ,y-axis and origin.Showing the line is symmetric about y axis.

Step 3. List the intercept.

Step 4. plot the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Applied Mathematics

Logic and Functions

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

List the intercepts and test for symmetry: $x^{2} + y = 9$ .