To solve this problem you must apply the proccedure shown below:
1. You have the following function:
2. You can rewrite it as following:
3. The line intersects the y-axis when 
, therefore:
4. The line intersects the x-axis when 
:
5. Now plot the points (0, 0.5) and (1,0) in a graph , as you can see in the figure attached.
Therefore, the answer is: The points of intersection are (0, 0.5) and (1,0).
Say you have 3 cakes. How many cakes would you have eaten if you ate 1/3 of the three cakes? One, you have eaten one cake, out of the three you have.
How many cakes do you have left if you eat 2/3 of the three cakes? Two, you have eaten 2 cakes, and have 1 cake left.
It is a similar approach here, except the confusing part is working "forward", when you really have to work "backward". If you have driven 30 miles, and you have driven 2 parts out of the trip when there is 3 parts of the trip, how many miles have you driven? Hint: Dividing 30 by 2 gives you what fraction of the distance to Jeff's grandmother?
Answer:
Option a is right.
Step-by-step explanation:
Parent funciton is
The new graph is
Since there is no change for x, there is no horizontal shift.
BUt since sign is changed there is a reflection on the line y=0 i.e. x axis.
Also new y is -2x^3 , -2 indicates the vertical shrink by scale factor 1/2
Option a is right
i.e. there is a reflection on x axis also there is a compression of scale factor 2 vertically.
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2
If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m
Try any other value for x and the area will be smaller.
