Question

In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = 12 to the number of x-

intercepts in the graph of g(t) = (t +32. Be sure to include the transformations that occurred between the parent function
f(t) and its image g(t)
WRITER
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0
e
Chin

Answer 1

Both functions have one x-intercept each.

Explanation:

The first function is

`f(t )= {t}^(2)`

This is a parabola with vertices at the origin and has one x-intercept at t=0.

The transformed function is

`g(t) = {(t + 3)}^(2)`

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.

This graph also has one x-intercept at x=-3.

Therefore both functions has the same number of x-intercepts