Chapter 3: Q. 8 (page 174)

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = 2 {(x + 1)}^{2} + 4$

Short Answer

Expert verified

The required graph is

Step by step solution

Step 1. Given information.

The given quadratic function is $f (x) = 2 {(x + 1)}^{2} + 4$ .

Step 2. Determine the horizontal and vertical shift.

Compare the function with $f (x) = {(x - h)}^{2} + k$ and determine $h and k$ .

role="math" localid="1646225202234" $f (x) = 2 {(x + 1)}^{2} + 4 f (x) = a {(x - h)}^{2} + k S o, h = - 1 k = 4 a = 2$

Plot the graph of the parent function.

Plot the graph of $f (x) = x^{2}$ .

Step 4. Stretch the graph.

Stretch the graph of $f (x) = x^{2}$ vertically 2 unit.

Step 5. Horizontal and vertically shift the graph.

Shift the graph of $f (x) = 2 x^{2}$ vertically and horizontally, left 1 unit and and up 4 units.

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In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = 2 {(x + 1)}^{2} + 4$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Plot the graph of the parent function.

Step 4. Stretch the graph.

Step 5. Horizontal and vertically shift the graph.

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In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).fx=2x+12+4

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Plot the graph of the parent function.

Step 4. Stretch the graph.

Step 5. Horizontal and vertically shift the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Logic and Functions

Discrete Mathematics

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).
$f (x) = 2 {(x + 1)}^{2} + 4$