After solving an equation in Point Slope Form, you're directly given the slope intercept form which is y=mx +b
The coordinates of point J' is (0,-2) which represent the image of J
let J (x,y) ⇒⇒⇒⇒ J' (x',y') = (0 , -2 )
The graph was dilated according to the rule:
(x,y) ⇒⇒⇒ ( 0.5x , 0.5y)
so, for the x coordinate
∴ x' = 0.5 x ⇒⇒⇒ x = 2x' = 2*0 = 0
for the y coordinate
y' = 0.5 y ⇒⇒⇒ y = 2y' = 2 * (-2) = -4
∴ The coordinates of J is ( 0 , -4 )
∴ The correct answer is the first option
3/8-12/8= -9/8, 9/16-12/16= -3/16, -18/16--3/16= --21/16 I think this is correct
Negative exponets are like normal ones
ex. 2^-2=-4 another way to do it 2^-2=2^2 with a - so you can do 2^2=4 add the - and it becomes -4.
Answer
given,

to find the critical point of the given expression
fist differentiating the function



now equating differential equation to zero


now,
-x + 3 = 0 and eˣ ≠ 0
x = 3
the critical number will be equal to x = 3

