Question

50 Points!!

Graph the function. Compare the graph to the graph of f(x) = x²
Let f(x) = 3x²− 1 and g(x) = f(x) + 3.
a. Describe the transformation from the graph of f to the graph of g.
Then graph f and g in the same coordinate plane.
b. Write an equation that represents g in terms of x.
Before graphing! Explain!
What do you notice?
Vertical Translation:
Vertex:

Answer 1

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2