There is only one real root, at x=-2, so the polynomial describing this parabola has factors of (x+2) with multiplicity 2. The y-intercept tells you the vertical stretch is 1.
The factorization is y = (x +2)².
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Let x = the number of alternative schools.
Therefore, 2x - 4 = 48.
2x -4 +4 = 48 + 4
2x = 52
x = 26
Therefore, there are 26 alternative schools(You could check this answer by substituting x=26 into the equation above.).
Answer:
A point on the line would be (-3, -7) and the slope if -3/2
Step-by-step explanation:
We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.
y + 1 = -3/2(x + 7)
y + 1 = -3/2(-3 + 7)
y + 1 = -3/2(4)
y + 1 = -6
y = -7
And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)
Answer:
{(-2, 8), (1,5), (4,2), (7, -1)} represents a linear function.
Step-by-step explanation:
In order to get from an x-value of -2 to 1 you add 3.
In order to get from a y-value of 8 to 5 you subtract 3.
This pattern is consistent with each coordinate in the ordered pair.
