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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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line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through t

castortr0y [4]

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

<h3>Solution:</h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)$

$m=\frac{0-4}{1-(-3)}=-1$

Thus slope of line m is -1

We know that product of slope of given line and perpendicular line are always -1

So, we get

$\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}$

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

The point slope form is given as:

$y - y_1 = m(x - x_1)$

$(x_1, y_1) = (-2, 6)$ and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

7 0

3 years ago

A net for which three-dimensional figure would always have 6 congruent rectangular regions

Crank

If I am correct it should just be a cube

3 0

3 years ago

What is the length of the hypotenuse? Answer : 17

leonid [27]

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

H² = 8² + (15)²
H² = 64 + 225
H² = 289
H = √(17*17)
H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

3 0

2 years ago

WILLLLL MARK BRAINLIEST IF GOTTTEN RIGHT U GET IT WRONG ON PURPOSE I WILL REPORT U

Semmy [17]

Answer:

your answer is AA

Step-by-step explanation:

because AB and DE are in the same category and AC and DF are in a different category together mark me brainy plz! (^_^)

7 0

3 years ago

13 is 10% of what number?

Vanyuwa [196]

13 is 10% of 130. You want to multiply 13 x 10 = 130

8 0

3 years ago

Read 2 more answers