Chapter 11: Q. 309 (page 1069)

In the following exercises, graph each function using transformations.
$f (x) = {(x + 2)}^{2} + 1$ .

Short Answer

Expert verified

The graph for the function is

Step by step solution

Step 1. Given function

$f (x) = {(x + 2)}^{2} + 1$ .

Now compare the given equation with .

We get, $h = - 2, k = 1$ .

First shift the graph of $f (x) = x^{2}$ to the left by $2$ units and then vertically up by $1$ units.

Step 2. First plot the graph for f(x)=x2.

The graph for the function is

Step 3. Final Graph

Shift the figure $2$ units to left and $1$ unit vertically.

Therefore,

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In the following exercises, graph each function using transformations.
$f (x) = {(x + 2)}^{2} + 1$ .

Short Answer

Step by step solution

Step 1. Given function

Step 2. First plot the graph for f(x)=x2.

Step 3. Final Graph

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In the following exercises, graph each function using transformations.f(x)=(x+2)2+1.

Short Answer

Step by step solution

Step 1. Given function

Step 2. First plot the graph for f(x)=x2.

Step 3. Final Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, graph each function using transformations.
$f (x) = {(x + 2)}^{2} + 1$ .