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s=-11.8(t-1.2)^(2)+17
The equation models the horizontal distance, 
s, in centimeters, of a particular image on a computer screen from the left-hand edge of the screen, 
t seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?
Choose 1 answer:
(A) 1.2 centimeters
(B) 5.2 centimeters
(c) 17 centimeters
(D) 34 centimeters

s=11.8(t1.2)2+17 s=-11.8(t-1.2)^{2}+17 \newlineThe equation models the horizontal distance, s s , in centimeters, of a particular image on a computer screen from the left-hand edge of the screen, t t seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?\newlineChoose 11 answer:\newline(A) 11.22 centimeters\newline(B) 55.22 centimeters\newline(C) 1717 centimeters\newline(D) 3434 centimeters

Full solution

Q. s=11.8(t1.2)2+17 s=-11.8(t-1.2)^{2}+17 \newlineThe equation models the horizontal distance, s s , in centimeters, of a particular image on a computer screen from the left-hand edge of the screen, t t seconds after appearing. If the image moves in from the left-hand edge of the screen during an on-screen animation, how far to the right does the image travel?\newlineChoose 11 answer:\newline(A) 11.22 centimeters\newline(B) 55.22 centimeters\newline(C) 1717 centimeters\newline(D) 3434 centimeters
  1. Question Prompt: The question prompt is: "How far to the right does the image travel during the on-screen animation?"
  2. Determining Maximum Horizontal Distance: To find out how far the image travels, we need to determine the maximum horizontal distance, ss, it can reach. This occurs at the vertex of the parabola represented by the given quadratic equation.
  3. Vertex Form of the Equation: The equation is in the vertex form s=a(th)2+ks = a(t - h)^2 + k, where (h,k)(h, k) is the vertex of the parabola. In this case, h=1.2h = 1.2 and k=17k = 17.
  4. Maximum Value of s: The maximum value of s is at the vertex, so the maximum horizontal distance the image travels is k, which is 1717 centimeters.
  5. Distance Traveled by the Image: Therefore, the image travels 1717 centimeters to the right from the left-hand edge of the screen.

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