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3 years ago

How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x

Mathematics

1 answer:

Lena [83]3 years ago

5 0

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.

Additional comment

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.

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Find the x- and y-intercepts of the following line: 4x − 3y = 12

Slav-nsk [51]

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

Step-by-step explanation:

To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).

Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.

x-intercept

4x-3y=12 [plug in y=0]

4x-3(0)=12 [multiply]

4x-0=12 [add both sides by 0]

4x=12 [divide both sides by 4]

x=3

---------------------------------------------------------------------------------------------------------

y-intercept

4x-3y=12 [plug in x=0]

4(0)-3y=12 [multiply]

0-3y=12 [subtract both sides by 0]

-3y=12 [divide both sides by -3]

y=-4

Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).

3 0

3 years ago

What is the solution set of the quadratic inequality f(x) greater than or equal to 0

stellarik [79]

ANSWER

{ $x | x \in \: R$ }

EXPLANATION

From the graph, the given quadratic inequality is

${(x + 3)}^{2} \geqslant 0$

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{ $x | x \in \: R$ }

The correct answer is A

3 0

3 years ago

DeMarco has the following coins in his pocket: 5 nickels, 3 dimes, and 2 quarters. What percent of one dollar does DeMarco have

Irina18 [472]

25% because 5 nickles equals 25 cents

7 0

3 years ago

Read 2 more answers

Plese answer the puzzle please