SOLUTION: Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x^2 − 10x + 4
y =___
State the vertex and axis of symmetry of the graph
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Question 1130868: Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x^2 − 10x + 4
y =___
State the vertex and axis of symmetry of the graph of the function.
axis of symmetry x=____
vertex (x, y) =
Found 2 solutions by josgarithmetic, htmentor:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
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f(x) = x^2 − 10x + 4
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VERTEX, (5,-21)
SYMMETRY AXIS, x=5
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
f(x) = x^2 − 10x + 4
To complete the square for x^2 - 10x, since the linear term is -10, the constant term must be half of this, or -5:
(x - 5)^2 = x^2 - 10x + 25
25 = 21 + 4, so we need to subtract 21 to retain the original equation:
f(x) = (x - 5)^2 - 21
The standard form for a quadratic is y = a(x - h)^2 + k, where (h,k) is the vertex
Thus the vertex is (5,-21), and the axis of symmetry is x = 5
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