/*! 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} Problem 87 Determine whether each statement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 87

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I must have made an error when graphing this parabola because its axis of symmetry is the \(y\) -axis.

Short Answer

Expert verified
The statement does make sense only if the \(x\)-coordinate of the vertex of the graphed parabola is 0. At all other instances, it doesn't make sense.

Step by step solution

01

Understanding the Concept of Axis of Symmetry

The axis of symmetry of a parabola is the vertical line through the vertex of the parabola. The equation of this line will always be of the form \(x = h\) where \(h\) is the \(x\)-coordinate of the vertex (h,k).
02

Evaluating The Given Statement

In the statement, it's claimed that the axis of symmetry is the \(y\)-axis. The equation of the \(y\)-axis is \(x = 0\) since all the points on \(y\)-axis have \(x\) equal to 0. Now, is it possible for the axis of symmetry of a parabola to be the \(y\)-axis? Yes, it's possible only when the vertex has \(x\)-coordinate equal to 0.
03

Conclusion

Hence, the statement 'I must have made an error when graphing this parabola because its axis of symmetry is the \(y\)-axis' does make sense if the \(x\)-coordinate of the vertex of the graphed parabola is 0. Otherwise, it doesn't make sense.

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 inequality using a graphing utility. $$ 2 x^{2}+5 x-3 \leq 0 $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. By using the quadratic formula, I do not need to bother with synthetic division when solving polynomial equations of degree 3 or higher.

Write an equation that expresses each relationship. Then solve the equation for \(y .\) \(x\) varies directly as the cube root of \(z\) and inversely as \(y .\)

Will help you prepare for the material covered in the next section. a. If \(y=k x^{2},\) find the value of \(k\) using \(x=2\) and \(y=64\) b. Substitute the value for \(k\) into \(y=k x^{2}\) and write the resulting equation. c. Use the equation from part (b) to find \(y\) when \(x=5\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Using the language of variation, I can now state the formula for the area of a trapezoid, \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right),\) as, "A trapezoid's area varies jointly with its height and the sum of its bases."
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Mechanics 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.