Answer:
The answer is C.
Step-by-step explanation:
You have to use Ditributive Law,
So for this question :
Which equation shows y=-1/2x +4 is in standard form?
2 answers:
The equation in standard form is x + 2y = 8
<em><u>Solution:</u></em>
Given that we have to write the given equation in standard form
The equation given is:
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers. When we shift the variable terms to the left side of the equation and everything else to the right side, we get the standard form.
Keep the variables on one side and constant term on other side
x + 2y = 8
Thus the above equation is in standard form of Ax + By = C
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We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.
With this data we can write a generic equation for the function:
f (x) = bx (x + 4) (x-2)
Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.
The graph of the function can be of two main forms, based on the value of the coefficient b.
If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit
If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.
In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1
