Answer:
B: [tex]a = \frac{y - k}{(x - h)^{2} }[/tex]
Step-by-step explanation:
Given the quadratic formula in vertex form, [tex]y = a(x - h)^{2} + k[/tex]
Start with subtracting k from both sides of the equation:
[tex]y - k = a(x - h)^{2} + k - k[/tex]
[tex]y - k = a(x - h)^{2}[/tex]
Then, isolate a by multiplying both sides of the equation by [tex][\frac{1}{(x - h)^{2}}][/tex]:
[tex]y - k [\frac{1}{(x - h)^{2}}] = a(x - h)^{2} [\frac{1}{(x - h)^{2}}][/tex]
This leaves you with the final answer:
[tex]\frac{y - k}{(x - h)^{2}} = a[/tex]
