SOLUTION: For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the fu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the fu      Log On


   

Question 884010: For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function.
Equation is:f(x) = x2 + x – 2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square and put the equation into vertex form.
y=x%5E2%2Bx-2
y=%28x%5E2%2Bx%2B1%2F4%29-2-1%2F4
y=%28x%2B1%2F2%29%5E2-8%2F4-1%2F4
y=%28x%2B1%2F2%29%5E2-9%2F4
a) Upwards, coefficient of %28x%2B1%2F2%29%5E2 is 1.
b) x=-1%2F2
c) Vertex: (-1%2F2,-9%2F4)
d) When x=0,y=%281%2F2%29%5E2-9%2F4=-2
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