/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 331 In the following exercises, (a) ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 331 (page 964)

In the following exercises, (a) rewrite each function in f(x)=a(x-h)2+kform and (b) graph it by using transformations.

f(x)=x2+4x-12

Short Answer

Expert verified

The function in the form f(x)=a(x-h)2+kis

f(x)=(x+2)2-16and the graph is

Step by step solution

01

Given information 

Given equation,f(x)=x2+4x-12

02

Rewriting and completing the square

Rewriting, we get

f(x)=x2+4x-12f(x)=x2+2.2路x+22-12-22f(x)=x2+4x+4-16f(x)=(x+2)2-16

03

Calculate the parameters

Calculating, we get

f(x)=(x+2)2-16a=1(h,k)=(-2,-16)

The parabola opens upward and axis of symmetry is x=-2

The yintercept isf(0)=(0+2)2-16f(0)=-12

04

Sketching the graph

The graph is shift of f(x)=x2to the left by two units and vertically downward by sixteen units

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve by using the Quadratic Formula:3y(y-2)-3=0

The product of two consecutive odd integers is 99. Find the integers.

Solve by using the Quadratic Formula:19d2-12d=-13

Use the Discriminant to Predict the Number of Solutions of a Quadratic Equation.

In the following exercises, determine the number of solutions for each quadratic equation.

a9v2-15v+25=0b100w2+60w+9=0(c)5c2+7c-10=0

Solve by using the Quadratic Formula:a2-2a=15
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.