Chapter 4: Q. 4 (page 224)

Graph $y = 2 {(x + 1)}^{2} - 3$ using transformations

Short Answer

Expert verified

The graph of $y = 2 {(x + 1)}^{2} - 3$ is

Step by step solution

Step 1. Given data

The given function is

$y = 2 {(x + 1)}^{2} - 3$

Step 2. Plot the parent function

Parent function of $y = 2 {(x + 1)}^{2} - 3$ is $y = x^{2}$

Plot the graph of the $y = x^{2}$

Step 3. Horizontal shift

Plot $y = {(x + 1)}^{2}$ by shifting the graph of $y = x^{2}$ to left by one unit

Step 4. The vertical stretch of the graph

Ploy the graph of $y = 2 {(x + 1)}^{2}$ stretching the graph of $y = {(x + 1)}^{2}$ by the factor of $2$

Step 5. Vertical shift

Plot $y = 2 {(x + 1)}^{2} - 3$ by shifting the graph of $y = 2 {(x + 1)}^{2}$ downward by $3$ units

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Graph $y = 2 {(x + 1)}^{2} - 3$ using transformations

Short Answer

Step by step solution

Step 1. Given data

Step 2. Plot the parent function

Step 3. Horizontal shift

Step 4. The vertical stretch of the graph

Step 5. Vertical shift

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Graph y=2(x+1)2-3using transformations

Short Answer

Step by step solution

Step 1. Given data

Step 2. Plot the parent function

Step 3. Horizontal shift

Step 4. The vertical stretch of the graph

Step 5. Vertical shift

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Graph $y = 2 {(x + 1)}^{2} - 3$ using transformations