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

sketch the graph of the given ellipse, labeling all intercepts.$$\frac{x^{2}}{9}+\frac{y^{2}}{25}=1$$

Graph is the answer

Algebra

Chapter 1

Functions and their Applications

Section 5

The Circle

Functions

Missouri State University

McMaster University

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

02:41

sketch the graph of the gi…

03:19

02:57

Sketch the graph of each e…

01:34

Graph each ellipse.$$<…

00:43

02:16

04:32

02:19

02:26

03:08

Graph each ellipse.$$\…

02:25

graph each ellipse.$$\…

01:56

for this problem, we have been given the equation of any Lips X squared over nine plus y squared over 25 equals one. And our goal is going to be to sketch the graph of this ellipse. Well, to do that, let's take a step back and review what the standard form often ellipse is. We're gonna have to fractions equaling one. I want to start with my numerator is first I have X minus h squared. Plus why, minus k squared, any of those are going to equal one. Now, those numerator should look very similar. Um, to what you've already done with your circle we have the center of the Ellipse is gonna be HK, just like the center of the circle was HK. The difference, though, is that in a lips is stretched. It has a major access and a minor access. A circle is uniforms all the way around. So the denominator is going to be what defines this as an ellipse and shows me where my major accesses and my minor axis A is always the bigger of the two numbers. So far, bigger number A squared is under the X term. That means I have. Ah, horizontal ellipse at the X axis is the major axis. If they're flipped and I'm going to raise thes denominators if it's flipped and my a squared, the bigger number is under the why term that means that why is my major axis and I have a vertical ellipse? So what do I have appear? Well, the bigger number, the bigger denominator is under the Why term? So the Y axis is my major axis A is five, which means I'll be moving five units up and down along my major axis from the center. Well, where is my center? That's a good place to start. Center comes from looking at my numerator in this case H zero and K zero. So the center is the origin. So I'm gonna go up five units and down five units along my major axis. 12345 So those were the end. Vergis is along my major axis. Now, how fat or skinny is my lips? Well defined, that we're going to look at B squared. The other denominator B squared is nine. So be is three. So on my lips, I'm going to go out three units and the other direction along my minor axis. And that's how far out my lips is going to go. And then I'm going to connect thes points in a rough oval shape. So that is the sketch of the Ellipse that we were given X squared over nine plus y squared over 25 equals one.

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:00

(a) Determine if the given equation is a supply or demand equation. For a su…

02:34

Determine the domain of the function defined by the given equation.$r(x)…

01:33

Baseball experts believe that there is a strong linear correlation between t…

02:36

Determine if the function defined by the given equation is odd, even or neit…

01:44

Use the vertical line test to determine if the given graph may represent a f…

00:55

Determine the horizontal asymptotes, if they exists.$$f(x)=\frac{2}{x-5}…

04:45

Determine the derivative at the given point on the curve using equation (2).…

04:37

Determine (a) $f(x)$ ) and the domain of the composite function, (b) $g(f(x)…

01:21

Determine the horizontal asymptotes, if they exists.$$f(x)=\frac{2 x}{9 …