SOLUTION: Graph the quadratic equation after completing the given table of values y=x^2-5x+4 x y 0 1 2 3 4

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Graph the quadratic equation after completing the given table of values y=x^2-5x+4 x y 0 1 2 3 4       Log On

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Question 51409This question is from textbook Beginning Algebra
: Graph the quadratic equation after completing the given table of values
y=x^2-5x+4
x y
0
1
2
3
4
This question is from textbook Beginning Algebra

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
A quadratic equation always produces a parabola. Let's first substitute each value of x into the equation to get its corresponding y value, or ordered pair.

For x=0, we get y=0%5E2-5%2A0%2B4 which simplifies to y=4. So, our first ordered pair is (0,4).

Using substitution again for x=1 produces y=1%5E2-5%2A1%2B4, which simplifies to y=0, or ordered pair (1,0).

Using the same process for the other values of x (2,3,4) produces ordered pairs (2,-2), (3,-2), and (4,0).

Now we just graph our ordered pairs.
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2Cx%5E2-5x%2B4%29