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Chapter 3: Q. 8 (page 174)

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

fx=2x+12+4

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given information.

The given quadratic function isf(x)=2x+12+4.

02

Step 2. Determine the horizontal and vertical shift.

Compare the function with fx=x-h2+kand determine handk.

role="math" localid="1646225202234" fx=2x+12+4f(x)=ax-h2+kSo,h=-1k=4a=2

03

Plot the graph  of the parent function. 

Plot the graph of fx=x2.

04

Step 4. Stretch the graph.

Stretch the graph of f(x)=x2vertically 2 unit.

05

Step 5. Horizontal and vertically shift the graph.

Shift the graph of f(x)=2x2vertically and horizontally, left 1 unit and and up 4 units.

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Most popular questions from this chapter

In Problems 6鈥� 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

fx=x-22+2

If f(x)=x2-4, findf(-2).

Find a quadratic function whose x-intercepts are -1 and 5and whose range is(-鈭�,9]

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=12x2+x-1

Match each graph to one the following functions.

f(x)=x2+2x+1
See all solutions

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