SOLUTION: Sketch the graph of the function f(x) =-x^2-2x+5 indicating on the graph the following features :vertex, x intercept, y intercept, axis of symmetry.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Sketch the graph of the function f(x) =-x^2-2x+5 indicating on the graph the following features :vertex, x intercept, y intercept, axis of symmetry.       Log On


   

Question 1076273: Sketch the graph of the function f(x) =-x^2-2x+5 indicating on the graph the following features :vertex, x intercept, y intercept, axis of symmetry.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=-%28x%5E2%2B2x-5%29
y=-%28x%5E2%2B2x%2B1-1-5%29
y=-%28%28x%2B1%29%5E2-6%29
highlight%28y=-%28x%2B1%29%5E2%2B6%29

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Vertex is a maximum point (-1,6).

Set f%28x%29=y=0 and solve for x to find the x-intercepts. YOU do that.

y-intercept? f%280%29=-0%5E2-2%2A0%2B5 and simplify.

Symmetry Axis: x=-1.