If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.
Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x,y).
I can eyeball points (1/2, 8), (1,4), (2,1), (3,1/4)
The pattern is each increment of 1/2 in x divides by two.
Any of the points give k=16
Check: x=1/2 4^(3/2)=2^2=8 good
x=1 4^(2-1)=4 good
x=2 4^(2-2)=1 good
x=3 4^(2-3)=1/4 good
Area of triangle = 0.5 base height
24 = 0.5 x 6 height
height = 8 inches
<span>-7 • (a4 - 81a2 - 162)27
-------------------------------- hope it helps
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