The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;
The line has the equation: y - 8 = 3( x + 1);
y - 8 = 3x + 3;
y = 3x + 11.
1 to left gives (x -1)^2
vertical stretch makes it 5(x - 1)^2
reflection in axis changes the sign to - :-
equation of new function is f(x) = -5(x - 1)^2
Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
Should be the 2nd and 3rd one