Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
Answer:
6.9999998e+16
Step-by-step explanation:
You literally just multiply
Answer:
x= 0.21428571428 or x=0.2
Step-by-step explanation:
-7x+7x^2=9 1. simplify 7x^2
-7x+ 7x(7x)=9 2. combine like terms
-7x+49x=9 3. combine like terms
42x=9 4. /42 on both sides
x= 0.21428571428 or x=0.2
