SOLUTION: Consider the function Y = x2 – 2x – 15 and determine the followings: a. Slope of the function. b. The intercept. c. Whether the function has a minimum or a maximum d. Minimum o

Algebra ->  Linear-equations -> SOLUTION: Consider the function Y = x2 – 2x – 15 and determine the followings: a. Slope of the function. b. The intercept. c. Whether the function has a minimum or a maximum d. Minimum o      Log On


   

Question 983283: Consider the function Y = x2 – 2x – 15 and determine the followings:
a. Slope of the function.
b. The intercept.
c. Whether the function has a minimum or a maximum
d. Minimum or a maximum value of the graph
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
The attempted function being express looks like y=x%5E2-3x-15, and this does not have a slope, because a slope relies on any two points. Slope is for a LINE. Your function may be a parabola (or so it seems as expressed).

Your function has a minimum. Put into standard form and read the vertex( a minimum point) from the equation. You also can find x-intercepts from the standard form equation.

y-intercept:
x%5E2-2x-15=y
0%5E2-2%2A0-15=y
y=-15-----------the point (0,-15)

Transform into standard form:
y=x%5E2-2x-15
y=x%5E2-2x%2B1-1-15
y=%28x-1%29%5E2-16-----------Now find the minimum point and any x-intercepts from this standard form equation.