Answer:
<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>Step-by-step explanation:
f(x) + n - shift a graph of f(x) n units up
f(x) - n - shift a graph of f(x) n units down
f(x + n) - shift a graph of f(x) n units to the left
f(x - n) - shift a graph of f(x) n units to the right
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We have
Convert the equation of g(x) to the vertex formula:
Answer:
1. Find the difference between the areas.
<u>Area of the small rectangle</u>:
<u>Area of the big rectangle</u>:
The difference is:
2.
You can solve this question just by looking at the graph.
a) The height is 4 meters.
To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.
The height is 4 meters.
b) 9 meters.
For
b) The ball travels 4 meters.
But to calculate it, it is when
Using the quadratic formula:
It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.
3.
In this question, we have to find the area of the cylinder and the sphere.
From the information given, we have
a = 5mm and d = 5mm, therefore the radius is 2.5 mm.
The volume of a cylinder:
The volume of the sphere:
The volume of the capsule is approximately