SOLUTION: For ​g(x)= -x^2 + 6x - 5 complete the following parts. ​a) Determine whether the parabola opens upward or downward. ​b) Find the​ y-intercept. ​

Algebra ->  Radicals -> SOLUTION: For ​g(x)= -x^2 + 6x - 5 complete the following parts. ​a) Determine whether the parabola opens upward or downward. ​b) Find the​ y-intercept. ​      Log On


   

Question 1102557: For ​g(x)= -x^2 + 6x - 5
complete the following parts.
​a) Determine whether the parabola opens upward or downward.
​b) Find the​ y-intercept.
​c) Find the vertex.
​d) Find the equation of the axis of symmetry.
​e) Find the​ x-intercepts (if​ any).
​f) Draw the graph.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Opens downward (negative coefficient on leading term)

You can try factoring to help with the other questions.
-1%28x%5E2-6x%2B5%29
-1%28x-1%29%28x-5%29

Roots or x-intercepts at system%28x=1%2Cand%2Cx=5%29

Symmetry Axis in the middle of the roots:
%281%2B5%29%2F2=3
Axis of Symmetry, highlight%28x=3%29
Vertex will occur for x=3.

Let x=0 and find y, for the y-axis intercept.

graph%28300%2C300%2C-5%2C7%2C-7%2C5%2C-x%5E2%2B6x-5%29