Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Fill in the blanks.

The graph of a quadratic function is symmetric about its ________.

Axis of symmetry

0:00

J H.

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Oregon State University

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:53

Fill in the blank.The …

00:22

Use the Laws of Logarithms…

00:09

Fill in the blanks.If …

00:08

00:59

01:03

02:33

Describe the graph of any …

00:19

Fill in the blank.If $…

00:17

01:22

Fill in each blank with th…

00:18

00:27

Fill in the blanks.The…

00:47

00:37

Complete the graph using t…

00:30

00:32

Identify the vertex and th…

00:28

Okay, so we need to know the graph of a quadratic function. It is symmetric. How so? It is symmetric about it's axis of symmetry. So in this case, the axis of symmetry would be the y axis. We can move this around and here the axis of symmetry would be X equals two. So we can always change where the parabola is. But we know that it is symmetric about it's axis of symmetry. So even if the problem was rotated this way, so here the axis of symmetry would be the X axis. So usually find a vertex and the Vertex will tell us what the axis of symmetry is.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

Fill in the blank.The graph of a quadratic function $f(x)=a x^{2}+b x+c$…

Use the Laws of Logarithms to expand the expression. $$\log _{5} 4 s t$$…

Fill in the blanks.If the graph of a function is symmetric about the ___…

Fill in the blanks.If the graph of a function is symmetric about the ori…

If the graph of a quadratic function opens downw…

If the graph of a quadratic function opens upwar…

Describe the graph of any quadratic function.

Fill in the blank.If $f(-x)=f(x)$ for every value of $x$ in the domain o…

Fill in the blank.If $f(-x)=-f(x)$ for every value of $x$ in the domain …

Fill in each blank with the correct response.If a function is even, its …

Fill in each blank with the correct response. Do not use a calculator.If…

Use the Laws of Logarithms to evaluate the expression.$$\ln \left(\ln e^…

Fill in the blanks.The graph of a function and its inverse are reflectio…

Fill in the blanks.The graph of a function is a _____ straight line and …

Complete the graph using the given symmetry property.Symmetric with resp…

Identify the vertex and the axis of symmetry for each function.(GRAPH NO…

05:19

Use power series to solve the differential equation.

$ y''…

01:57

In Exercises 7-12, match the quadratic function with its graph. [The graphs …

03:02

In Exercises 35- 50, (a) find all the real zeros of the polynomial…

Suppose $ S $ and $ E $ satisfy the conditions of the Divergence Theorem and…

09:47

Solve the differential equation or initial-value problem using the method of…

02:24

In Exercises 9 - 16, match the polynomial function with its graph. [The grap…

11:33

An industrial propane tank is formed by adjoining two hemispheres t…

00:31

Fill in the blanks.Polynomial functions of the form $ f(x) = $ ________…

01:04

07:18