what is the y value of this minimum
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For this, we just need to solve the function when x = 4. So firstly, plug in 4 in the x variable.
[tex] y=4^2-8(4)+12 [/tex]
Next, solve the exponents and multiplications: [tex] y=16-32+12 [/tex]
Next, combine everything on the right side of the equation, and your answer will be y = -4