Factor the Expression. 8x - 40 * (8x - 5) 8(x - 5) 8(x - 40)
1 answer:
You might be interested in
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
Plug in the coordinates above:
Simplify:
Thus, the rate of change between the points is -1.
Answer:
The equation of the line is.
Step-by-step explanation:
Given:
The given points are (0, -4) and (-4, 6)
The equation of the line passing through the points and
is.
Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is
The above equation is divided by 2 both sides.
Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is
Answer:
Step-by-step explanation:
We can recognize that the parent function for all of these graphs is going to be y=x^2. What this means is that we can graph y=x^2 and then apply transformations to it to get to all of these new graphs.
1. y = -x^2 + 5
We can see that the coefficient of the x^2 term is negative which tells us that the graph will now open downwards.
We also know that we are adding 5 on the outside of the argument which means it affect vertical shift. Therefore, we will be moving 5 units up.
2. y = x^2 - 4
We can see that the only change made to this equation is subtracting 4 on the outside of the squared part of the equation. Again, this signifies vertical movement, but since it's negative we will be moving the entire y = x^2 graph down 4 units.
3. y = -x^2 - 1
What do you notice about this graph?
- negative coefficient
- subtracting 1 outside of the argument
What do these mean?
- negative coefficient: opens downwards
- subtracting 1: move entire y = x^2 graph down 1 unit
Answer:
Step-by-step explanation:
1)
Altitude = 2
Period = 2pi/(1/2) = 4pi
(since 1/2 is coefficient of x)
Altitude interval = [-4,0]
Domain interval = set of all real numbers
Phase shift = 0
Vertical shift = 2 down
2) y=-4sin(2x+pi/2)-2
Altitude = 4
Period = 2pi/(2) = pi
(since 2 is coefficient of x)
Altitude interval = [-6,2]
Domain interval = set of all real numbers
Phase shift = pi/2
Vertical shift = 2 down