SOLUTION: Sketch each quadratic function by algebraically finding the axis of symmetry, vertex, and use a total of at least five points. a. f(x)=x^2+4x+3 b. g(x)=-x^2+8x-15 c. h(x)=x^2-2x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Sketch each quadratic function by algebraically finding the axis of symmetry, vertex, and use a total of at least five points. a. f(x)=x^2+4x+3 b. g(x)=-x^2+8x-15 c. h(x)=x^2-2x      Log On


   

Question 1100207: Sketch each quadratic function by algebraically finding the axis of symmetry, vertex, and use a total of at least five points.
a. f(x)=x^2+4x+3 b. g(x)=-x^2+8x-15 c. h(x)=x^2-2x+3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
There is a formula to help with this, in case a function is not factorable.


(b)
x%5E2%2B8x-15
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x%5E2%2B8x%2B16-16-15, completing the square
%28x%2B4%29%5E2-31

Axis of symmetry, x=-4.
Vertex, (-4,-31).
You can find the desired points yourself. You should at least include the two x-intercepts. Solve this equation: %28x%2B4%29%5E2-31=0.