Mathematics: Write the function in vertex form. identify the vertex.y = 2x^2 - 4x + 5

Write the function in vertex form. identify the

falmujaahid026

08.01.2022

$\large\boxed{f(x)=2(x-1)^2+3}$

Step-by-step explanation:

The vertex form of a quadratic function f(x) = ax² + bx + c:

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

Where (h, k) is a vertex.

$h=\dfrac{-b}{2a},\ k=f(h)$

We have:

$f(x)=2x^2-4x+5\to a=2,\ b=-4,\ c=5$

Calculate h and k:

$h=\dfrac{-(-4)}{2(2)}=\dfrac{4}{4}=1\\\\k=f(1)\to k=2(1^2)-4(1)+5=2-4+5=3$

Finally:

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

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wes94

06.10.2020

$7.

Step-by-step explanation:

It is given that the printing company charges a certain amount for each shirt plus a setup fee of $40.

Let x be the cost of each t-shirt.

There are 21 students in the drama club. So, total cost of 21 t-shirts is

$\text{Total cos}=40+21x$

It is given that the t-shirt order costs a total of $187.

40+21x=187

21x=187-40

21x=147

Divide both sides by 21.

$x=\dfrac{147}{21}$

x=7

Therefore, the cost of each t-shirt is $7.

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