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hjlf
2 years ago
6

In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t^2 to the number of x-intercepts i

n the graph of g(t) = (t – 8)^2. Be sure to include the transformations that occurred between the parent function f(t) and its image g(t).
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0
Well, minusing 8 from every t just moved theh function to the right 8 units
it had no effect on the number of t intercepts (horizontal is t axis instaead of x axis)

originally, it has 1 t intercept at t=0
now it still has 1 t intercept, but now it is at t=8
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In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

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<em>Additional comment</em>

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

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