/*! 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} Q2. State whether the given sentence... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q2. (page 592)

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

The vertex is the maximum or minimum point of a parabola.

Short Answer

Expert verified

The sentence, 鈥淭he vertex is the maximum or minimum point of a parabola鈥� is true.

Step by step solution

01

Step 1. Define the standard form of the quadratic function.

A quadratic function, which is written in the form, y=ax2+bx+c, where, a鈮�0 is called the standard form of the quadratic function.

02

Step 2. Define the maximum and minimum points of a function.

The maximum value of a function is the place where the function reaches its highest point.

The minimum value of a function is the place where the function reaches its lowest point.

03

Step 3. Check whether the given sentence is true or false.

The graph of the parabola y=ax2+bx+c,

Opens upward and has a minimum value at x=鈭�b2a, when a>0.

Opens downward and has a maximum value at x=鈭�b2a, when a<0.

The maximum or minimum point is the vertex of the parabola.

Therefore, the sentence, 鈥淭he vertex is the maximum or minimum point of a parabola鈥� is true.

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 each equation by completing the square.

x2鈭�x鈭�6=0

The cost of 5 notebooks and 3 pens is \(9.75. The cost of 4 notebooks and 6 pens is \)10.50. Which of the following systems can be used to find the cost of a notebook nand a pen p?

a. Write a system of equations to model the situation.

b. Solve the system of equations. How much does each item cost?

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

Use the graph of the quadratic equation shown below to answer each question.

A What is the vertex?

B What is they-intercept?

C What is the axis of symmetry?

D What are the roots of the corresponding quadratic equation?

Find the vertex, the equation of the axis of symmetry, and the y-intercept of the given equation.

y=7x2鈭�28x+14

Find the next three terms in each geometric sequence.

256,128,64,.....
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.