Answer:
7.28011
Step-by-step explanation:
X1 =-3
X2 =-5
Y1 =8
Y2 =1
Distance Formula = √(X2-X1)²+ (Y2-y1)²
Step 1. calculate (X2-X1)²
(-5 - -3)2 = 4
Step 2. calculate (Y2-Y1)²
(1 - 8)2 = 49
Step 3. calculate √4 + 49
= 7.28011
8b + 8 - 4b - 3
Combine like terms:-
(8-4)b + 8 - 3
4b + 8 - 3
4b + 5
If we set the equation equal to 0, we can factor it to find its roots:
x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2
This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)

A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so

A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So




We can rewrite that without the primes and combine the powers of 2.

Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}