# 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 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).

** vertex form : **g(x) = _____________________________

**standard form:** g(x) = ___________________________

** factored form : **g(x) =** **____________________________

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