SOLUTION: Use the method of completing the square to find the standard form of the quadratic function. f(x) = x^2 − 8x + 2 y = State the vertex and axis of symmetry of the graph of

Algebra ->  Inequalities -> SOLUTION: Use the method of completing the square to find the standard form of the quadratic function. f(x) = x^2 − 8x + 2 y = State the vertex and axis of symmetry of the graph of       Log On


   

Question 1131361: Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x^2 − 8x + 2
y =
State the vertex and axis of symmetry of the graph of the function.
axis of symmetry
x =
axis of symmetry
x =

vertex (x, y) =
Found 3 solutions by MathLover1, josgarithmetic, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2+-8x+%2B+2
y+=%28x%5E2+-8x%29+%2B+2
y+=%28x%5E2+-8x%2Bb%5E2%29+-b%5E2%2B+2.......b=8%2F2=4
y+=%28x%5E2+-8x%2B4%5E2%29+-4%5E2%2B+2
y+=%28x+-4%29%5E2+-16%2B+2
y+=%28x+-4%29%5E2+-14
=> h=4 and k=-14
vertex (x, y) =(4, -14)
axis of symmetry
x+=4





Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%5E2%2B8x%29%2B2
%28x%5E2%2B8x%2B16%29-2%2B16-----completing the square
-%28x%2B4%29%5E2%2B14

Symmetry Axis, x=-4
vertex, (-4, 14)

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The "solution" and the answer by @josgaritmetic both are wrong.

For your safety, simply ignore it.

The correct solution and the correct answer is in the post by @LoverMath1.