Plus some one help I need the answer step by step Correct answer pls
1 answer:
Answer:
Answer b seem to be the right answer.
Step-by-step explanation:
x³ + 3x² + 3x + 1
Try to get (x+1) it of the brackets
(x+1) * ( x² + 2x + 1 )
If you multiply you can check that it is accurate:
x³ + 3x² + 3x + 1 = (x+1) * ( x² + 2x + 1 )
if you divide (x+1) * ( x² + 2x + 1 ) by (x+1)
you get 1/(x+1) * (x+1) * ( x² + 2x + 1 )
and that is 1 * ( x² + 2x + 1 )
So x² + 2x + 1 is a parabola, which is the remainder.
See the graph of the remainder in the attachment.
If you substitute x = -1 you find the minimum value of y, which is the Top of the parabola ( -1 , 0).
Answer b seem to be the right answer.
EXTRA
actually x³ + 3x² + 3x + 1 = (x+1)³
therefore (x+1)³ = (x+1)¹ * (x+1)²
So 1/(x+1) * (x+1) * (x+1)²
and that is 1 * (x+1)²
So (x+1)² is a parabola, which is the remainder.
See the graph of the remainder in the attachment.
If you substitute x = -1 you find the minimum value of y, which is the Top of the parabola ( -1 , 0).
Answer b seem to be the right answer.
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9514 1404 393
Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
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<em>Additional comment</em>
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:
9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
