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4. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

5. The safety inspector notes that you also need to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of your parabola, and show your work.

6. Create a graph of the polynomial function you created in Question 4.

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4 nothing further can be done
5. You can rearrange f(x) as:

f(x) = 3(x^2 + 3x) + 12 = 3(x+1.5)^2 +5.25

So you can see the vertex is at (0,5.25) when x = -1.5

The axis of symmetry then lies in x = -1.5

6. It cant be graphed


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