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Must show work/steps on your work page𝑦=𝑥2 −4⁢𝑥+13Find the axis of symmetry:  x =

Question

Must show work/steps on your work page

y=x24x+13 y = x^2 - 4x + 13
Find the axis of symmetry:
x= x =

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Solution

Sure, let's find the axis of symmetry for the quadratic function y=x24x+13 y = x^2 - 4x + 13 .

The general form of a quadratic function is y=ax2+bx+c y = ax^2 + bx + c . For this function, we have:

  • a=1 a = 1
  • b=4 b = -4
  • c=13 c = 13

The formula to find the axis of symmetry for a quadratic function is given by: x=b2a x = -\frac{b}{2a}

Now, let's substitute the values of a a and b b into the formula:

  1. Identify a a and b b : a=1 a = 1 b=4 b = -4

  2. Substitute a a and b b into the formula: x=421 x = -\frac{-4}{2 \cdot 1}

  3. Simplify the expression: x=42 x = -\frac{-4}{2} x=42 x = \frac{4}{2} x=2 x = 2

So, the axis of symmetry for the quadratic function y=x24x+13 y = x^2 - 4x + 13 is x=2 x = 2 .

This problem has been solved

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