All categories

4 years ago

If g(x)=f(x+k), what is the value of k?

Mathematics

2 answers:

lianna [129]4 years ago

6 0

G(x) is f(x) shifted left by (4 -(-2)) = 6 units.

The value of k is 6.

Andre45 [30]4 years ago

4 0

Answer:

k= 6

Step-by-step explanation:

From the graph of f(x) , the vertex is at (4,1)

In the graph of g(x), the vertex is at (-2,1)

From the vertex point (4,1) the graph of g(x) is shifted 6 units to the left to reach the point (-2,1)

x is 4,

g(x)= f(x+k)

g(-2) = f(4+k)

4-(-2)= 6

So k= 6

You might be interested in

Please help ASAP thanks!!! <br><br> x−5 >−3

Lady bird [3.3K]

Answer:

x > 2

Step-by-step explanation:

7 0

4 years ago

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between two points (1, 4) and (5, 2) is

$d=\sqrt{(5-1)^2+(2-4)^2}$

$d=\sqrt{(4)^2+(-2)^2}$

$d=\sqrt{16+4}$

$d=\sqrt{20}$

$d=4.4721359$

Round to the nearest tenth of a unit.

$d\approx 4.5$

Therefore, the distance between two artifacts is 4.5 units.

4 0

3 years ago

I need help on this ASAP

pochemuha

Since r=1, area of circle is pi*r^2, which is just pi (1). Your answer is PI.

4 0

3 years ago

Read 2 more answers

Find tan–11.4826 to the nearest degree.

netineya [11]

-0.203
to the nearest degree would be 1

8 0

3 years ago

Find an equation in slope-intercept form for the line with a zero slope and passes through (12, -9). a. x = 12 c. y = 12x - 9 b.

nirvana33 [79]

Answer:

b. y = -9

Step-by-step explanation:

A line with zero slope has no dependence on x. It is simply ...

... y = constant

The constant must be the same as the y-value of the point you want the line to go through. Since the point is (12, -9), the constant is -9 and the equation is ...

... y = -9

3 0

3 years ago

Read 2 more answers