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7th Edition

Stefan Waner + 1 other

Publisher: Cengage Learning

ISBN: 9781337274203

Chapter 2, Problem 1RE

Textbook Problem

Sketch the graph of the quadratic functions in Exercises 1 and 2, indicating the coordinates of the vertex, the y-intercept, and the x-intercepts (if any).

Expert Solution

To determine

**To graph:** The function *y*-intercept, and *x*-intercept.

**Given Information:**

The provided function is

**Graph:**

Consider the function,

Compare the equation

The values are

Here

To graph a quadratic function, four things should be calculated first.

(i) Vertex

(ii) *x*-intercept

(iii)*y*-intercept

(iv) Symmetry

Vertex: The formula of *x-* coordinate of a vertex is,

Substitute

To find the *y-*coordinate of vertex, substitute

Thus, coordinates of the vertex are

To calculate the *x*-intercept of the function, substitute

Therefore,

Now solve for

Now solve for

Thus, *x*-intercept are

To calculate the *y*-intercept, substitute

Thus, the *y*-intercept is

Symmetry:

The formula of the symmetry line is,

Substitute

So, the line of symmetry is

Now plot the graph.

**Interpretation:**

The graph of *y*-intercept *x*-intercept are

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Marjory Duffin has...Ch. 2 - Stock Prices We saw in Exercise 38 that...Ch. 2 - Lobsters We saw in Exercise 37 that the Long...Ch. 2 - Stock Prices We saw in Exercise 38 that...Ch. 2 - Lobsters The following chart shows some of the...Ch. 2 - Stock Prices The actual stock price of...Ch. 2 - Hardware Life (Based on a question from the GRE...Ch. 2 - Sales OHaganBooks.com modeled its weekly sales...

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College Algebra (MindTap Course List)

Refer to the data in Table 2.12. a. Prepare a crosstabulation with 5-Year Average Return as the columns and Net...

Statistics for Business & Economics, Revised (MindTap Course List)

Suppose that f(x) > 0 for all x and that f and g are differentiable. Use the identity fg=egInf and the chain ru...

Calculus Volume 2

City Trucking, Inc., claims consistent delivery times for its routine customer deliveries. A sample of 22 truck...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Telemedicine. Health insurers are beginning to offer telemedicine services online that replace the common offic...

Essentials Of Statistics For Business & Economics

Finding Limiting Values In Exercises S-11 through S-24, use a table of values to estimate the limiting value. I...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In the following exercises, use the graph of function y=f(x) shown here to find the value, if possible. Estimat...

Calculus Volume 1

The differential equation dy/dx = P(x) + Q(x)y + R(x)y2 is known as Riccatis equation. (a) A Riccati equation c...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Use the following information to answer the next three exercises State whether the data are symmetrical, skewed...

Introductory Statistics

In each of 24-28, determine how many times innermost loop will be iterated when thw algorithm sefrnent is imple...

Discrete Mathematics With Applications