I have a question that has already been answered. I just need someone to please explain the steps. Find the coordinates of the minimum point of the function- f(x) = x^2 + 4x - 5.

Solution-

We need to express x^2 + 4 - 5 in the form (x+h)^2 + k.

Let x^2 - 4x = (x - 2)^2 - 4 (Where did the -4 come from?)

x^2 + 4x - 5 = [ (x - 2)^2 - 4] - 5
= (x - 2)^2 - 9

All I wanna know is where the -4 came from. what rule must be applied. ​

Step-by-step explanation:

Using brackets will really help.

y = (x^2 + 4x + ... ) - 5       You are trying to complete the square. The square in this case is a trinomial that is squared.

To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.

So far what you have is

y = (x^2 + 4x + 4) - 5  

Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.

What that means is 4  inside - 4 outside. So it looks like this

y = (x^2 + 4x + 4) - 5 - 4

Now you continue on

y = (x + 2)^2 - 9  The 4 combines with the 5 to make nine.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )