Answer:
6
Step-by-step explanation:
Graph ![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
quadratic function is of the form ![f(x) = ax^2 + bx +c](https://tex.z-dn.net/?f=f%28x%29%20%3D%20ax%5E2%20%2B%20bx%20%2Bc)
In our f(x) there is no x term and constant so we put 0
![f(x) = 1x^2+0x+0](https://tex.z-dn.net/?f=f%28x%29%20%3D%201x%5E2%2B0x%2B0)
The value of a=1 , b=0 and c=0
To find vertex , use formula ![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
Plug in the values
=0
Now plug in x=0 in f(x) equation
![f(x) = x^2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2)
=0
So vertex is (0,0)
Now we pick some number for x below and above 0
Make a table
x y=x^2
-2 4
0 0
2 4
Now plot all the points (-2,4) (0,0) and (2,4)
The graph is attached below
Answer:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
Answer:
W = 7 - x
Step-by-step explanation:
The perimeter is P= 2L + 2×W , where L is the length and W is the width.
If L = (x+2) , replacing L with the expression x+2 we have
P= 2×(X+2) + 2W ⇔ 18 = 2x + 4 + 2W ⇔ 2W =18 - 2x - 4 ⇔ 2W = 14 - 2x
⇔ W = 7 - x