/*! 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. 237 In the following functions, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 237 (page 944)

In the following functions, find

a) the equation of the axis of symmetry and

b) the vertex of its graph.

f(x)=x2+8x-1.

Short Answer

Expert verified

Part (a) The equation of the axis of symmetry is

x=-4.

Part (b) The vertex is-4,-17.

Step by step solution

01

Step 1. Given information.

The given function is,

f(x)=x2+8x-1.

02

Step 2. Solving part (a).

On comparing the given function with the standard form then

f(x)=ax2+bx+c,a=1,b=8,c=-1.

Substituting in the below equation we get,

x=-b2ax=-82x=-4

Therefore, the equation of the axis of the symmetry isx=-4.

03

Step 3. Solving part (c).

Here, the vertex is a point on the symmetric line we have

x=-4

Substitute the above coordinate in the given function we get

f(-4)=-42+8-4-1=16-32-1=-17

Therefore, the vertex is-4,-17.

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 quadratic equation9y2+12y+4=9 using square root property

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

In the following exercises, solve by using the Quadratic Formula.

(v+1)(v-5)-4=0

In the following exercise, solve by completing the square.

u2+2u=3

In the following exercises, solve by using the Quadratic Formula.
2x2+3x+3=0
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

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.