3x+2y=8 is this function a quadratic?
2 answers:
Step-by-step explanation:
Let's select values for X, and find the corresponding Y values:
X = -3, Y = 8.5
X = -2, Y = 7
X = -1, Y = 5.5
X = 0, Y = 4
X = 1, Y = 2.5
X = 2, Y = 1
X = 3, Y = -0.5
So our coordinates are:
(-3, 8.5) ; (-2, 7) ; (-1, 5.5) ; (0, 4) ; (1, 2.5) ; (2, 1) and (3, 0.5)
Graph these on a chart to visualize:
(In picture)
We can see that this is a decreasing linear function, <em>not</em> quadratic. Quadratic functions create a symmetrical curve, which this is not.
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Answer:
<em>The options are not visible enough (See Explanation)</em>
Step-by-step explanation:
Given
x:- 1 || 2 || 3 || 4 || 5
y:- 13 || 22 || 37 || 58 || 85
Required
Determine if the function is quadratic
Calculate the difference between the values of y
<em>The resulting difference are: 9 || 15 || 21 || 27</em>
Next; Calculate the difference between the difference of values of y
<em>The resulting difference are: 6 || 6 || 6</em>
<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>