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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)
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In two or more complete sentences compare the number of xintercepts in the graph of ft 12 to the number of x intercepts in the graph of gt t 32 Be sure to inclu class=

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Answer:

Both functions have one x-intercept each.

Step-by-step explanation:

The first function is

[tex]f(t )= {t}^{2} [/tex]

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

The transformed function is

[tex]g(t) = {(t + 3)}^{2} [/tex]

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

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