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Snezhnost [94]
3 years ago
7

Using the given information, give the vertex form equation of each parabola.

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

The answer to your question is   y = 2(x + 8)²

Step-by-step explanation:

This is a vertical parabola that opens upwards

The distance from the vertex to the directrix is 1/8 so p = 1/8.

Equation

                 (x - h)² = 4p(y - k)

h = -7

k = 0

p = 1/8

Substitution

              (x + 8)² = 4(1/8)(y - 0)

Vertex form equation

              (x + 8)² = 1/2(y)

              y = 2(x + 8)²

              x² + 16x + 64 = 1/2y

              2x² + 32x + 128 = y

General equation

              2x² + 32x - y + 128 = 0

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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
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If an angle is obtuse what type of angle is its supplement
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kwrob
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3 years ago
Explain how to add fractions with unlike denominators. Please be as specific as possible.
Gelneren [198K]

Answer:

Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have 1/2 + 1/3, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be 2*3=6. Our new denominator would be 6. So now we would have 1/6 + 1/6 which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, 3/6+2/6.

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