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Sagot :
Maximum or Minimum Value
A quadratic equation is given in the form:
[tex]y=ax^2+bx+c[/tex]The quadratic graph will open upwards, that is have a minimum value if a > 0 and a maximum value if a < 0.
The quadratic equation in the problem is given to be:
[tex]f(x)=2x^2-10x+6[/tex]Here, a = 2.
Therefore, the graph has a minimum value.
Axis of Symmetry
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. It is given by the formula:
[tex]x=-\frac{b}{2a}[/tex]From the equation, b = -10.
Therefore, the axis of symmetry will be:
[tex]\begin{gathered} x=-\frac{(-10)}{2(2)}=\frac{5}{2} \\ \therefore \\ x=2.5 \end{gathered}[/tex]
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