Chapter 3: Q. 7 (page 174)

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

Short Answer

Expert verified

The required graph is

Step by step solution

Step 1. Given information.

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

Step 2. Determine the horizontal and vertical shift.

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

localid="1646225245025" $f (x) = - {(x - 4)}^{2} f (x) = a {(x - h)}^{2} + k S o, h = 4 k = 0 a = - 1$

Step 3. plot the graph of the parent function.

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

Step 4. Reflect the graph about x-axis.

Reflect the graph of $f (x) = x^{2}$ about x-axis to plot $f (x) = - x^{2}$ .

Step 5. Horizontal shift of the graph.

Shift the graph of $f (x) = - x^{2}$ to 4 units right to plot $f (x) = - {(x - 4)}^{2}$ .

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x	$y = f (x)$
-2	4
-1	1
0	-2
1	-5
2	-8

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. Reflect the graph about x-axis.

Step 5. Horizontal shift of the graph.

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Most popular questions from this chapter

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In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).fx=-x-42

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the horizontal and vertical shift.

Step 3. plot the graph of the parent function.

Step 4. Reflect the graph about x-axis.

Step 5. Horizontal shift of the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Mechanics Maths

Probability and Statistics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

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