quadratic function f(x)=(x 2)^24 what is the axis
Algebra

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quadratic function f(x)=(x+2)^24 what is the axis
I am assuming that you actually mean "axis of symmetry"
Note. For a quadratic function in the Vertex Form: f(x) = a(x  h)^2 + k
The equation for the axis of symmetry is x = h
The quadratic function f(x) = (x + 2)^2  4 is in vertex form. Meaning we can compare with f(x) = a(x  h)^2 + k to get our value of 'h'. Then we can use this value to obtain your equation for the function's axis of symmetry.
f(x) = (x + 2)^2  4 <Given quadratic function. It is in vertex form>
f(x) = a(x  h)^2 + k <Compare give quadratic function with the vertex form>
x + 2 = x  h <We would compare the expressions in parenthesis>
x + 2  x = x  h  x <Subtract both sides by x>
2 = h
2 = h <Negate both sides>
h = 2
Now that we have our value of h, we can obtain our equation for the axis of symmetry
x = h <Equation for the axis of symmetry>
x = 2 <Substitute the value of h>
SOLUTION: Equation for the axis of symmetry is x = 2
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