MS 100 College Algebra test six • Name:

Data table for the above parabola

1. Find a, b, and c in the y = ax² + bx + c form of the equation for the graph above. The coordinates for both x-intercepts and the vertex are depicted on the graph.

a = __________

b = __________

c = __________

2. y = ___________ Find the y-intercept for the parabola in question number one.

3. p = ___________ Find the focus distance p for the parabola in question number one.

4. Write out the standard form for the parabola in question one.
$(y-\text{\_\_\_\_\_\_\_\_\_})={\text{\_\_\_\_\_\_\_\_\_}(x-\text{\_\_\_\_\_\_\_\_\_})}^2$

5. Given that $a=\frac{1}{4p}$, determine the focal distance p for y = 0.025x² + 8.2x + 16.4

6. Use a Qalculate! to help you sketch a graph of the following function Sketch the graph on your paper.
$\text{f(x)}=\frac{7x^2-28}{\sqrt{(49-x^2)}}$

7. _________ Determine the y-intercept for the rational function in question six.

8. ___________________________ Determine the x-intercept(s) for the rational function in question six.

9. __________________ Determine the vertical asymptotes for the rational function in question six.

10. __________________ Write out the domain for the rational function in question six.

11. Find the standard form equation for the parabola formed by the shown focus and directrix: