Provide an appropriate response.Why is it not possible to choose h and k, neither zero, so the parabola 
has its vertex at the origin?
What will be an ideal response?
The only way a parabola can have its vertex on the x-axis is if 
and the only way a parabola can have its vertex on the 
is if 
So the only way a parabola can have its vertex at the origin is if both h and k are zero.
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Find the product.-12ax2(9ax3 - 8x2 + 4a)
A. -108a2x5 + 96ax4 - 48a2x2 B. -108ax3 + 96x2 - 48a C. -108a2x5 + 96ax4 D. -108a2x5 - 8x2 + 4a
Evaluate the expression without using a calculator, or state that the value does not exist. Simplify the answer to the extent possible.coth(ln 8)
A. 
B. 
C. 
D. 
Write a fraction to represent the shaded area of the figure.
A. 
B. 
C. 
D. 
Use the graph to evaluate the function f(x) at the indicated value of x.Find f(-1).
A. 0.25 B. -0.5 C. 0.5 D. None of these are correct.