SOLUTION: Graph each function in standard form. State the vertex and axis of symmetry. 1.) y = 2x^2 + 8x - 3 2.) y = -0.5x^2 + 5

Algebra ->  Graphs -> SOLUTION: Graph each function in standard form. State the vertex and axis of symmetry. 1.) y = 2x^2 + 8x - 3 2.) y = -0.5x^2 + 5      Log On


   



Question 175622: Graph each function in standard form. State the vertex and axis of symmetry.
1.) y = 2x^2 + 8x - 3
2.) y = -0.5x^2 + 5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph each function in standard form. State the vertex and axis of symmetry.
1.) y = 2x^2 + 8x - 3
y+3+? = 2(x^2+4x + ?)
Complete the square to get:
2(x^2 + 4x + 4) = y + 3 + 2*4
2(x+2)^2 = y +11
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Vertex: (-2,-11)
Axis: x = -2
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%5E2%2B8x-3%29
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2.) y = -0.5x^2 + 5
-0.5x^2 = y-5
The square is already complete because x^2 = (x+0)^2
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Vertex: (0,5)
Axis: x = 0
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-0.5x%5E2%2B5%29
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Cheers,
Stan H.