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love history [14]
3 years ago
6

Kelly is saving money to buy a concert ticket. Her savings y for x days can be represented by the equation y=x+10. Graph the sol

utions of the equations?
Mathematics
1 answer:
Contact [7]3 years ago
7 0
If you were to graph the equation, first you would plot 10 on the y graph. Then go up 1, over 1, the continue to get a slope. If you'd had another equation, then the point where they would intersect is the solution to the system of equations.
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Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

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