Find the vertex of the function given below.

Option A i.e. (1, 0) is correct.

Step-by-step explanation:

We know that graph of a Parabola illustrates a U-shaped curve.

The graph of Parabola has an important characteristic, it consists of an extreme point which is termed as 'vertex'.

When a parabola opens up, the vertex will be the lowest point on the Parabola graph.

When a parabola opens up, the vertex will be the lowest point on the Parabola graph. This lowest point is the minimum value of the parabola function.

Given the equation

y = x² - 2x + 1

From the given Parabola graph, it is clear that the parabola opens up.  

Thus, the vertex will be the lowest point on the Parabola graph which is also the minimum value.

It is clear that the vertex of the parabola is located at (1, 0).

Therefore, the point (1, 0) is the vertex of the function.

SECOND METHOD:

Given the equation

y = x² - 2x + 1

The vertex of an up-down facing parabola of the form y = ax² + bx + c is

Plug on in the equation y = x² - 2x + 1 to find the value

Therefore, the vertex is:

Hence, option A i.e. (1, 0) is correct.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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