Harvard University Algebra Equations and Parabola Worksheet

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Do your work on a separate sheet of paper or on a printed version of this worksheet. Show all work.
1. Answer the following for the equation: y = x2 – 2x – 8
a. Find the critical values.
i.
Axis of symmetry
ii.
Vertex
iii.
Zeros
iv. y-intercept
V. Max or min
vi. Domain and Range
b. Plot i – iv on the graph.
C. Sketch the parabola
2. Write and solve an equation in the form ax2 + c = 0, where a 70 , that satisfies the given
condition.
a. The equation has no solution.
b. The equation has two solutions.
3. Error Analysis: Describe and correct the error made in graphing the function y = – 2×2 +1.
NO
5-2 of 2
4. What information do the numbers a and c give you about the graph of y= ax+c?