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Three Formulas for a Quadratic Function
The function g(x) shown in the graph is a
translation of f(x) = 2x^{2}. 1. Find a formula
for g (x) using the fact that it is 2. Simplify the formula for g(x) so that it has
the form 3. g(x) is a quadratic function that can be
factored. 
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 yaxis. _______________
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 xaxis. ________________
Is there a connection between the zeros (xintercepts) and the formula in
Question 3?
Explain.
7. Write down three different formulas for g(x).
vertex form : g(x) = _____________________________
standard form: g(x) = ___________________________
factored form : g(x) = ____________________________
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