SOLUTION: Can someone please be nice and show me step by step on this thank you so much please plot the graph Quadratic equation x^2-5x+4 Polynomial equation x + 7x^2 + 5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone please be nice and show me step by step on this thank you so much please plot the graph Quadratic equation x^2-5x+4 Polynomial equation x + 7x^2 + 5      Log On


   

Question 173971This question is from textbook
: Can someone please be nice and show me step by step on this thank you so much
please plot the graph
Quadratic equation
x^2-5x+4
Polynomial equation
x + 7x^2 + 5 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Table of Contents:


Jump to Table
Jump to Graph


In order to graph y=x%5E2-5x%2B4, we need to plot some points.


Let's find y when x=0
(Note: you can start with any x-value):


y=x%5E2-5x%2B4 Start with the given equation.


y=%280%29%5E2-5%280%29%2B4 Plug in x=0.


y=1%280%29-5%280%29%2B4 Square 0 to get 0.


y=0-5%280%29%2B4 Multiply 1 and 0 to get 0.


y=0%2B0%2B4 Multiply -5 and 0 to get 0.


y=4 Combine like terms.


So when x=0, then y=4.


So we have the point .


----------------------------------------------------


Let's find y when x=1:


y=x%5E2-5x%2B4 Start with the given equation.


y=%281%29%5E2-5%281%29%2B4 Plug in x=1.


y=1%281%29-5%281%29%2B4 Square 1 to get 1.


y=1-5%281%29%2B4 Multiply 1 and 1 to get 1.


y=1-5%2B4 Multiply -5 and 1 to get -5.


y=0 Combine like terms.


So when x=1, then y=0.


So we have the point .


----------------------------------------------------


Let's find y when x=2:


y=x%5E2-5x%2B4 Start with the given equation.


y=%282%29%5E2-5%282%29%2B4 Plug in x=2.


y=1%284%29-5%282%29%2B4 Square 2 to get 4.


y=4-5%282%29%2B4 Multiply 1 and 4 to get 4.


y=4-10%2B4 Multiply -5 and 2 to get -10.


y=-2 Combine like terms.


So when x=2, then y=-2.


So we have the point .


----------------------------------------------------


Let's find y when x=3:


y=x%5E2-5x%2B4 Start with the given equation.


y=%283%29%5E2-5%283%29%2B4 Plug in x=3.


y=1%289%29-5%283%29%2B4 Square 3 to get 9.


y=9-5%283%29%2B4 Multiply 1 and 9 to get 9.


y=9-15%2B4 Multiply -5 and 3 to get -15.


y=-2 Combine like terms.


So when x=3, then y=-2.


So we have the point .


----------------------------------------------------


Let's find y when x=4:


y=x%5E2-5x%2B4 Start with the given equation.


y=%284%29%5E2-5%284%29%2B4 Plug in x=4.


y=1%2816%29-5%284%29%2B4 Square 4 to get 16.


y=16-5%284%29%2B4 Multiply 1 and 16 to get 16.


y=16-20%2B4 Multiply -5 and 4 to get -20.


y=0 Combine like terms.


So when x=4, then y=0.


So we have the point .


----------------------------------------------------


Let's find y when x=5:


y=x%5E2-5x%2B4 Start with the given equation.


y=%285%29%5E2-5%285%29%2B4 Plug in x=5.


y=1%2825%29-5%285%29%2B4 Square 5 to get 25.


y=25-5%285%29%2B4 Multiply 1 and 25 to get 25.


y=25-25%2B4 Multiply -5 and 5 to get -25.


y=4 Combine like terms.


So when x=5, then y=4.


So we have the point .


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Now let's make a table of the values we just found.


Table of Values:





xy
04


10


2-2


3-2


40


54

Now let's plot the points:







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Graph:


Now draw a curve through all of the points to graph y=x%5E2-5x%2B4:


Graph of y=x%5E2-5x%2B4