/*! 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} Q18. Which is an equation for the fun... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q18. (page 566)

Which is an equation for the function shown in the graph?

Ay=鈭�2x2

By=2x2+1

Cy=x2鈭�1

Dy=鈭�2x2+1

Short Answer

Expert verified

Option D is the correct choice.

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 graph of a function.

The graph of a function is the set of all points whose coordinates x,鈥�y satisfy the function y=fx.

03

Step 3. Write an equation for the function shown in the graph.

Observe the graph shown in the figure.

The graph of the parabola opens downward, so the coefficient of x2must be negative.

We can ignore the options B and C, where the coefficient of x2 is positive.

The vertex of the parabola is 0,鈥�1, in the option A: y=鈭�2x2, the vertex is 0,鈥�0. So, option A is not the correct choice.

Option D: y=鈭�2x2+1has the vertex at 0,鈥�1and it opens downward.

Therefore, option D is the correct choice.

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

MULTIPLE REPRESENTATIONS in this problem, you will investigate solving quadratic equations using tables.

a. ALGEBRAIC Determine the related function for each equation. Copy and complete the table below.

b. GRAPHICAL Graph each related function with a graphing calculator.

c. ANALYTICAL use the table feature on your calculator to determine the zeros of each related function. Record the zeros in the table above. Also, record the values of the function one unit less than and one unit more than each zero.

d. VERBAL Compare the signs of the function values for x values just before and just after a zero. What happens to the sign of the function value before and after a zero?

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

Misty purchased a car several years ago$21459. The value of the car depreciated at a rate of 15% annually. What was the value of the car after 5years? Round your answer to the nearest whole dollar.

Christopher is repairing the roof on a shed. He accidentally dropped a box of nails from a height of 14 feet. This is represented by the equation h=鈭�16t2+14, where h the height in feet and t is the time in seconds. Describe how the graph is related to .

Find the next three terms in each geometric sequence.

3,9,27,.....

Solve each equation by completing the square.

2x2鈭�36=鈭�6x
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Applied 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.