Express 3 to the powermof -2 as rational number
1 answer:
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Answer:
A
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 )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)
m = =
= -
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 3) , then
3 = + c ⇒ c = 3 -
=
y = - x +
← in slope- intercept form
Multiply through by 3 to clear the fractions
3y = - 2x + 5 ( add 2x to both sides )
2x + 3y = 5 ( subtract 5 from both sides )
2x + 3y - 5 = 0 ← in general form
The parent function is given by
and the transformation function is given by
We can see that, 6 has been added to the function f(x) to get the function g(x).
We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.
Therefore, we will get g(x), when we will shift f(x) upward by 6 units.
Both functions are linear function hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.
D is the correct option.