Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 10x + 15
1 answer:
Answer:
- minimum: -10
Step-by-step explanation:
Add and subtract the square of half the x-coefficient:
x² -10x +(-5)² -(-5)² +15
Express the first three terms as a square; simplify the remaining terms.
(x -5)² -10
This expression describes a parabola that opens upward and has its vertex at (x, y) = (5, -10). The minimum value is -10.
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Answer:
y -5 = -7(x +5)
Step-by-step explanation:
The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...
y -k = m(x -h)
Filling in the given numbers, you get the equation ...
y -5 = -7(x +5)
_____
This can be rearranged to any of several other forms:
y = -7x -30 . . . . . slope-intercept form
7x + y = -30 . . . . standard form
x/(-30/7) + y/(-30) = 1 . . . . . intercept form
