The function g(x) shown in the graph is a translation of f(x) = 2x2.
1. Find a formula for g(x) using the fact that it is
a translation of f(x) = 2x2.
Tip: Check with a grapher.
2. Simplify the formula for g(x) so that it has the form
2
()g x ax bx c=++(standard form).
Tip: Check with a grapher.
3. g(x) is a quadratic function that can be factored.
Write down the formula in factored form.
Tip: Check with a grapher
4. Use the graph to find the coordinates of the vertex of g(x). _____________________
Is there a connection between the coordinates of the vertex and the formula in Question 1?
Explain.
5. Use the graph to find where g(x) crosses the y-axis. _______________
Is there a connection between the y-intercept and the formula in Question 2? Explain.
6. Use the graph to find where g(x) crosses the x-axis. ________________
Is there a connection between the zeros (x-intercepts) and the formula in Question 3?
Explain.
7. Write down three different formulas for g(x).
After your reading of Section 5.5, complete the following. You might find it helpful to reread Section 2.6
Three Formulas for a Quadratic Function
g(x)
vertex form: g(x) = _____________________________
standard form: g(x) = ___________________________
factored form: g(x) = ____________________________
Name ___________________________
MA 153 Writing Assignment 6 Due Monday 10-30-06 (10 pts)
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