Answer:
axis of symmetry: [tex]x=3[/tex], vertex: [tex](3,23)[/tex]
Step-by-step explanation:
[tex]-\frac{b}{2a}=-\frac{12}{-4}=3[/tex]
axis of symmetry(x-value of the vertex): [tex]x=3[/tex]
input this value into the function to get the vertex
[tex]-2(3)^{2}+12(3)+5[/tex]
[tex]-18+36+5[/tex]
[tex]18+5[/tex]
[tex]23[/tex] is the y-value of the vertex
[tex](3,23)[/tex]
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