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21 votes
21 votes
Graph y= 0.5x^2 - 4x +6 on the coordinate plane.

Vertex:

Is this considered a minimum or maximum point?

Axis of symmetry: x=

Roots: x= and x=

User NielsNet
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3.3k points

1 Answer

22 votes
22 votes

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

y = 8 - 16 + 6, y = -2

Vertex is at (4, -2). It is a minimum because the graph opens up since x*2 is positive.

User ITmeze
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3.0k points