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LenKa [72]
3 years ago
12

The graphs below have the same shape. What is the equation of the blue graph?

Mathematics
1 answer:
g100num [7]3 years ago
6 0
<h3>Answer: Choice B. y = (x-3)^2 + 1</h3>

Explanation:

The vertex of a parabola is either the highest point or the lowest point, depending on how the parabola is oriented. In this case, it is the lowest point.

For the red f(x) curve, we see the vertex is (0,0)

The blue g(x) curve has its vertex at (3,1)

In general, the vertex is represented by (h,k)

For the blue curve, (h,k) = (3,1) so h = 3 and k = 1 pair up together

We will plug those values along with a = 1 into the vertex form below

y = a(x-h)^2 + k

y = 1(x-3)^2 + 1

y = (x-3)^2 + 1

The blue curve is the result of shifting the red curve 3 units to the right and 1 unit up. No vertical stretching or compressing has been applied, which is why a = 1 stays the same.

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Step-by-step explanation:

Since Bill made mortar mix and he used 24kg of sand and 5kg of cement. This means that for 1 kg of cement, (24/5) = 4.8 kg of sand is used.

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