You can put this solution on YOUR website! f(x)=5x^2+20x+30
Express in standard form
Find the Vertex
Graph the parabola
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f(x)=5x^2+20x+30
complete the square:
f(x)=5(x^2+4x+4)-20+30
f(x)=5(x+2)^2+10
This is an equation of a parabola that opens upward
Its standard (vertex) form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or steepness of the curve
For given parabola:
vertex: (-2,10)
see graph below:
(