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2 years ago

In which form is the following function written? Y-3=1/2(x-1)^2

Mathematics

2 answers:

larisa86 [58]2 years ago

7 0

Answer:

Cartesian Form ⇒ completing square

Step-by-step explanation:

y - 3 = 1/2(x - 1)²

y = 1/2(x - 1)² + 3 ⇒ vertex (1 , 3) minimum

laila [671]2 years ago

6 0

Answer:

The given equation is in vertex form.

Step-by-step explanation:

We have given a quadratic equation.

y-3 = 1/2(x-1)²

We have to find the form of the function.

y-k = a(x-h)² is vertex form of equation in which (h,k) is vertex of equation.

Comparing vertex form and given equation, we have

k = 3 and h = 1

Hence, vertex is (1,3).

So, the given equation is in vertex form.

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2 years ago

Read 2 more answers

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; <em>Option A</em>

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2 years ago