SOLUTION: f(x)=5x^2+20x+30 Express in standard form Find the Vertex Graph the parabola

Question 733359: f(x)=5x^2+20x+30
Express in standard form
Find the Vertex
Graph the parabola
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
f(x)=5x^2+20x+30
Express in standard form
Find the Vertex
Graph the parabola
***
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:

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