Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , then
y = - x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - x + 1 ← equation of line
Answer:
We are have the function f(x).
Part 1: It is given that the function f(x) is transformed to f(x)+2.
This gives us that the function is translated 2 units upwards.
As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.
Translation does not change the behavior of the function.
So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.
Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.
Part 2: It is given that the function f(x) is transformed to
This gives us that the function is shrinked vertically by a factor of followed by a reflection across x-axis.
Also, the y-intercept of is .
The graph of f(x) after changing to will flip over the x-axis.
So, the function will increase or decrease when f(x) decrease or increase respectively.
Moreover, will be even if f(x) is even or odd respectively.