(a) The parabola opens downward.
(b) The axis of symmetry is at x = -2.
(c) The vertex is at (-2,0).
(d) The x-intercepts is (-2,0), and the y-intercept is at (0,-1).
Answer:
(a) f(7) = 23
(b) x = 13/3
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 2
(a) f(7) is x = 7
(b) f(x) = 15
Step 2: Substitute and Evaluate
(a) f(7) = 3(7) + 2
f(7) = 21 + 2
f(7) = 23
(b) 15 = 3x + 2
13 = 3x
x = 13/3
Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0