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.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98