The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
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Answer:
Step-by-step explanation:
1) Distance covered by motorcycle = x
y = 50 + (x -2)*10
2)Distance traveled = 5 km
y = 50 + ( 5-2) *10
= 50 + 3*10
= 50 + 30
= 80
Seth will be paid Php 80
3) y = 120
50 + (x - 2)* 10 = y
50 + (x -2) *10 = 120
50 + 10x - 2*10 = 120
50 + 10x - 20 = 120
30 + 10x = 120
10x = 120 - 30
10x = 90
x = 90/10
x = 9
A passenger can travel 9 km.
4)y = (x - 2)*10
y = 10x - 20
20 + y = 10x
20 = 10x - y
10x - y = 20 {Ax + By = C form}
Answer: 60 mph
Step-by-step explanation:
300+120+420=840
840/14=60