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4 years ago

Suppose f(x)=x^3 find the graph of f(x+4)

Mathematics

1 answer:

Mashutka [201]4 years ago

5 0

Answer:

graph 1

Step-by-step explanation:

f(x+4) shifts the graph of f(x) left 4 units. The graph that shows y=x^3 shifted left 4 units is graph 1.

_____

The point (0, f(0)) = (0, 0) is the point of inflection on the curve. In the function f(x+4), the value of x must be -4 in order to get a y-value of 0. That is, the point that was (0, f(0)) now is (-4, f(-4+4)) = (-4, f(0)). It has been moved 4 units to the left.

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HELP PLEASE 10 POINTS!!!!!!!!!!!

LiRa [457]

Answer:

$0.0000000642 = 6.42 \times {10}^{ - 8}$

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3 years ago

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3a2 + 2a + 2a2 is equal to

yanalaym [24]

Answer:

5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

3a^2 +2a +2a^2

= (3a^2 +2a^2) +2a

= (3+2)a^2 +2a

= 5a^2 +2a

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3 years ago

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A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour

kaheart [24]

Answer:180

Step-by-step explanation:

8 0

4 years ago

Can someone solve this question to me.i will mark brainliest. :)

Alex787 [66]

Answer:

Parent Function: $y=\sqrt{x}$
Horizontal shift: right 3 units
Vertical shift: up 3 units
Reflection about the x-axis: none
Vertical strech: streched

Step-by-step explanation:

assume that $y=\sqrt{x}$ is $f(x)=\sqrt{x}$ and $y=\sqrt{-2x+6}+3$ is

$g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3$

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

$y=a\sqrt{x-h}+k$

factor a 1 out of the absolute value to make the coefficient of x equal to 1

$y=\sqrt{x}$

factor a 2 out of the absolute value to make the coefficient of x equal to 1

$y=\sqrt{2}\sqrt{x-3}+3$

find a, h and k for $y=\sqrt{2}\sqrt{x-3}+3$

$a=1.41421356\\ h=3\\k=3$

the horizontal shift depends on the value of h when $h > 0$ , the horizontal shift is described as:

$g(x)=f(x+h)$ - the graph is shifted to the left h units

$g(x)=f(x-h)\\$ - the graph is shifted to the right h units

the vertical shift depends on the value of k

5 0

2 years ago

On a 1‐mile walking tour of New York City, a group had to take a detour that was 300 yards shorter than half the distance of the

tresset_1 [31]

Answer:

580 yards long.

Step-by-step explanation:

The distance of the walking tour is = 1 mile

Step 1

We have to convert 1 mile to yards

Therefore ,

1 mile = 1760 yards

Step 2

We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.

The second step would be to find out how many yards is equal to half the distance of the tour.

Half the distance of the tour = 1/2 of a mile

And in step 1 we have converted whole distance of the tour to yards

= 1 mile = 1760 yards.

Hence, Half the distance of the tour = 1760 yards ÷ 2

= 880 yards.

Step 3

The group took a detour that was 300 yards shorter than half the distance of the tour.

This means mathematically,

Half the distance of the tour - 300 yards

= 880 yards - 300 yards

= 580 yards.

Therefore, the detour was 580 yards long.

7 0

4 years ago