Answer:
Step-by-step explanation:
The standard form of a linear equation is .
The given line has equation:
This is the point-slope form of the given line.
To find the standard form, we clear the fraction
We expand the parenthesis now to get:
We group the variables on the LHS and the constants on the RHS.
Multiply through by -1
This is of the form: .
Answer:
A) The functions are not inverses of each other.
Step-by-step explanation:
The result of f(g(x)) is not always x, so the functions are not inverses of each other.
In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
