Find the unknown side of the triangle when x = 12 in and y = 5 in.
2 answers:
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The given expression :
For coordinates:
put x = 0 then :
Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :
Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :
Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :
Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :
Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' =
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2