We will see that the vertex of the quadratic equation is (7, -43), so the vertex form is:
[tex]h(x) = (x - 7)^2 - 43[/tex]
How to find the vertex form of the quadratic equation?
We have the quadratic equation:
[tex]h(x) = x^2 - 14x + 6[/tex]
First, we need to find the vertex.
The x-value of the vertex is:
[tex]x = -(-14)/(2*1) = 7[/tex]
To get the y-vale of the vertex, we need to evaluate the function in x = 7.
[tex]h(7) = 7^2 - 14*7 + 6 = -43[/tex]
So the vertex is (7, -43), then the vertex form is:
[tex]h(x) = (x - 7)^2 - 43[/tex]
If you want to learn more about quadratic equations:
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