Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q1. (page 290)

Give an example of a quadratic function. Identify its quadratic term, linear term, and constant term.

Short Answer

Expert verified

The quadratic equation is f(x)=2x2+3x+10.

The quadratic term is 2, linear term is 3 and constant term is 10.

Step by step solution

01

Step 1. Use the concept of quadratic function.

A quadratic function is described by an equation of the following form.

f(x)=ax2+bx+c,a≠0

Where,

a is quadratic term

b is linear term

c is constant term

02

Step 2. Calculation.

A quadratic function is of the form f(x)=ax2+bx+c,a≠0

So, consider the quadratic function

f(x)=2x2+3x+10

03

Step 3. Conclusion.

Comparing the quadratic function f(x)=2x2+3x+10with f(x)=ax2+bx+c,a≠0, we have

a=2b=3c=10

So, quadratic term is 2, linear term is 3 and constant term is 10.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

The shape of each arch supporting the Exchange House can be modeled by h(x)=-0.025x2+2x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base in meters.

According to this model, what is the maximum height of the arch?

NUMBER THEORY Use a quadratic equation to find two real numbers whose sum is 5 and whose product is -14, or show that no such numbers exist.

Simplify

4-3i-5-6i

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=2x2-4

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

f(x)=-20x+5x2+9
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics 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.

Sign-up for free