SOLUTION: Parabola. Give domain, range, vertex, and axis. y=2x^2+8x Please show the graph of this equation.

Question 742508: Parabola. Give domain, range, vertex, and axis.
y=2x^2+8x
Please show the graph of this equation.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Parabola. Give domain, range, vertex, and axis.
y=2x^2+8x
Please show the graph of this equation.
***
y=2x^2+8x
complete the square
y=2(x^2+4x+4)-8
y=2(x+2)^2-8
This is a parabola that opens upward.
Its standard(vertex) form of equation: A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or narrowness of the curve.
For given parabola:
domain:(-∞,∞)
range: [-8,∞)
vertex: (-2,-8)
axis of symmetry: x=-2
see graph below as a visual check:

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