A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule? (x,
2 answers:
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Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.
Take some points
- 2x+3y<6
- 3y<-2x+6
- y<-2/3x+2
As here < sign present line will be dashed and shading should be done below the line
So
- (1,1)
- (1,0)
- (2,0)
- (-1,2)
Graph attached
