f (x ) = 2 x + 5
For g (x) we will solve the system:
- 1 =-2 m + b
+
-9 = 2 m + b
----------------------
-10 = 2 b, b = -5
-9 = 2 m - 5
2 m = -4
m = -2
g ( x ) = - 2 x - 5
For h (X):
m = (-1-5 ) / ( 3-0 ) = -6/3 = -2
5 = 0 + b, b = 5
h ( x) = - 2 x + 5.
Now we have 4 linear functions:
1 ) f ( x ) = 2 x + 5
The slope is m = 2, y - intercept: y = 5 , zero: x = -2.5 and the function increases ( m > 0 ).
2 ) g(x) = - 2 x - 5
The slope is m = - 2, y-intercept: y =-5 , zero: x = -2.5 and the function decreases ( m < 0 ).
3 ) h ( x ) = - 2 x + 5
The slope is m = - 2, y - intercept . y = 5, zero: x = 2.5 and the function decreases.
4 ) j (x) = 2 x + 5
The slope is m = 2, y -intercept: y = 5, zero: x = -2.5 and the function decreases.
The functions f( x ) and j ( x ) are parallel and also g( x ) and h ( x ). They have the same slope.
The functions f ( x ) and j (x ) are increasing and h ( x ) and h ( x ) are decreasing.
Answer:
one triangle
Step-by-step explanation:
hope this helps
Answer
4. -3 1/3
Step-by-step explanation:
ayan lang alam ko skl
I hope this helps you
-(4.2+1/2) ÷ (-)(2.3+2/3)
-9/2 ÷ - 8/3
9/2× 3/8
27/24
1 3/24
Answer:
We are given the function, f(x) = |2x+4| + 1.
Now, as we can see that this function is obtained after applying following transformation to the function g(x) = |x|.
1. Dilation i.e. shrinking the graph horizontally by 2 units
2. Translation i.e. shifting the figure in 4 units to the left and 1 unit up.
Hence, after plotting the function f(x) = |2x+4| + 1, we get the following graph.
