All categories

2 years ago

The graphs below have the same shape. what is the equation of the graph of g(x)?

Mathematics

2 answers:

8_murik_8 [283]2 years ago

5 0

Answer:

D. g(x) = (x+4)²

Step-by-step explanation:

From the graph of g(x), we can see that if we plug in -4 to g, or in the proper notation, g(-4), it should equal 0. It should do the same with the equations. The only equation that equals 0 when -4 is plugged in is D. Therefore, your answer is D.

Step2247 [10]2 years ago

3 0

Answer:

$D. g(x)=(x+4)^{2}$

Step-by-step explanation:

As you can see in the graph, the point where the parabola starts is (-4,0), this graph is already in Y form, so we know that at some point in the graph, Y would be 0 and x would have to be -4, so we just have to evaluate the options for 0.

$g(x)=(x+4)^{2}\\0=(x+4)^{2}\\0=x+4\\x=-4$

As D is the only option that is evaluated for 0 and as a result gives -4, that is the answer for the equation of the graph.

You might be interested in

Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons

kap26 [50]

Answer:

If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent.

Step-by-step explanation:

In the problem, we have a coefficient matrix comprising linear equations. If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent based on the theorem.

7 0

1 year ago

MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag,

andreev551 [17]

Answer:

i think its the second one because if you multiply a number by a decimal with a value lower than 1, then the number will go down, but im not positive

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If f(x) = (xm + 9)2, which statement about f(x) is true?

Marina CMI [18]

Answer:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

Step-by-step explanation:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

The given function(x^m+9)^2 is a quadratic equation. The term Quadratic means the variable gets squared. if m is an even number, that would result also to an even function....

3 0

2 years ago

Kelly purchased 6 planters for a total of $18. She wants to purchase another 16 planters at the same unit price. How much will 1

AfilCa [17]

Answer:

Hope this helps

Step-by-step explanation:

If 6 planters= $18 then 16 planters= 16x 18 divided by 6 =$48

5 0

2 years ago

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer.

AysviL [449]

Answer:

< CFE = 40°

Step-by-step explanation:

To better understand the solution, see attachment for the diagram.

Given:

BC parallel to DE

Measure of Arc BD = 58°

Measure of Arc DE = 142°

First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.

The line ST divides the arc BD and arc DE into half.

That is:

Arc SC = 1/2(arc BC) =1/2(58)

Arc SC = 29°

Arc TE = 1/2(arc DE) =1/2(142)

Arc TE = 71°

Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Inscribed angle = 1/2(intercepted angle)

<CFE = 1/2(Arc CE )

<CFE = 1/2(80)

< CFE = 40°

5 0

1 year ago