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

Determine the equation of the parabola passing through the points (0,10)(1, 9) and (4, 30).

y=2 x^{2}-3 x+10

Algebra

Chapter 1

Functions and their Applications

Section 4

Quadratic Functions - Parabolas

Functions

Campbell 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

03:00

Find an equation in standa…

02:46

Determine the equation of …

01:03

Each point lies on a parab…

04:37

Use a system of equations …

01:17

Find an equation for the c…

03:54

Write the equation of each…

00:32

Find an equation for the p…

00:56

Okay, so we need a parabola that goes to the 0.0 10 and 19 and we need a 3rd 0.4 30. So the whole point is we need to figure out values your A, B and C that make this equation true. Now, the quick answer is that we already know that the C value is 10. The reason for that is if we plug in 10 for why and a bunch of zeros for X. Well, zero times anything is zero. So that means that C must be 10 in the problem circle that. But that's not my final answer. So as I go to the next one and plug nine and for why I have plug in one after actual one squared is one. So we have a plus B times one is still one and your see value of 10. Well, now we know that a plus B is equal to subtracting 10 over negative one, and you can do the same thing when we circle this real quick. And I work with that second this plug in 30 for why? And now plugging four in for actual four square to 16. So we have 16, a plus four B plus 10. So as I subtract 10 over and now I'm going to get 39 is 10 is 20 April 16th a plus four big. So taking this equation when I would probably do is multiply everything by negative. For just so I get my bees to match up perfectly, I can cancel those out. Uh, what do I get? 20 and four is I'm using elimination by 24 16 plus 94 is 12 and again those to eliminate each other, uh, and then I can divide 12 over to figure out my A value of two. Um, And now I can go back and take this value and plug it in for this A. So I'm looking at negative one is equal to two plus B. So when I saw it for be interesting to subtract two over negative one minus two is negative. Three. So now I know in this equation, I see values. 10. My B value is 23 negative three. And my A value is to looking. Why? It goes to X squared minus three X plus 10 is your final answer. Yeah,

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:00

Given the curve whose equation is $f(x)=\sqrt{x+4} .$ Let $P$ be the point(5…

03:02

The area of a triangle is 20 square feet. If the height is three feet less t…

02:49

Compute the indicated limit.$$\text { (a) } \lim _{x \rightarrow \infty}…

01:51

Determine whether the given equations is a circle, a point, or a contradicti…

03:31

The Floor and $C E I L I N G$ functions are defined as follows:$$\begin{…

Find $f^{\prime}(x)$.$$f(x)=-3 x^{2}+7 x-11$$.

02:27

(a) Use the data from Exercise 2 to find the line of best fit for men s inco…

01:47

Use the zeros, vertical and horizontal asymptotes along with the sign of the…

03:11

02:05

Find the indicated limit.$$\lim _{t \rightarrow 2} \frac{2 t^{2}+1}{3 t^…