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14.07.2019 •
Mathematics
What system of equations does this graph represent? a) y = x^2 - 5 y = -x + 1 b) y = x^2 - 5 y = -x - 1 c) y = x^2 + 5 y = -x + 1 d) y = x^2 + 5 y = -x - 1
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Ответ:
Option A. y = x² - 5
y = -x + 1
Step-by-step explanation:
There are two equations in this system one of a parabola and second one of a straight line.
Since parent function of a parabola f(x) = x² has shifting of (-5) downwards on y axis so equation of the parabola will be y = x² - 5
and other one is a straight line passing through two points (2, -1) and (-3, 4)
Therefore slope of the line will be =![\frac{y-y'}{x-x'}=\frac{4+1}{-3-2}](/tpl/images/0090/0743/e5cb5.png)
Slope = (-1) and y intercept = 1
Therefor equation of the line is y = -x +1
Ответ:
y=1/2x-3
Step-by-step explanation:
Hope this helps :) Have a great day!!!