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Viktor [21]
3 years ago
7

Let f(x)=4x^2+6 . The function g(x) is f(x) translated 4 units down. Enter the equation for g(x) in the box. g(x) =

Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer: g(x)=4x^2+2. Hope this helps you pass!

saw5 [17]3 years ago
5 0
F(x)=4x²+6
This parabola intersects y-axis at y=6 ==>f(0) =
if g(x) is translated 4 units down that means the intersection with y-axis will be :

6-4 = 2 ; hence g(x) =4x² + 2
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yaroslaw [1]

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Step-by-step explanation:

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2 years ago
Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely
larisa [96]

\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}

\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1)  +2x(2x+1) +  (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2

3 0
2 years ago
Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?
Shalnov [3]

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section covers somplifying algebraic expressions

Step-by-step explanation:

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7 0
2 years ago
A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?
Zigmanuir [339]

Answer:

<u><em>6</em></u>

Step-by-step explanation:

Hey there) The formula of your line is:

-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\

If point has y=-4, then:

-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6

Hope this helps) Have a nice day/night :)

8 0
3 years ago
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