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Ksivusya [100]
3 years ago
6

Which of the these statements best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4?

Mathematics
2 answers:
Komok [63]3 years ago
8 0

Answer:

A) The graph shifts 4 units up.

Step-by-step explanation:

It is written partially in <em>Slope-Intercept Form</em> [y = mx + b]. That 4 is your <em>y-intercept</em><em>,</em><em> </em>which means it is shifted upward; it is written as [0, 4], but at least you get the idea.

I am joyous to assist you anytime.

dmitriy555 [2]3 years ago
6 0

Answer:

A.) The graph shifts 4 units up.

Step-by-step explanation:

The graph shifts 4 units up best describes the effect of replacing the graph of f(x) with the graph of f(x) + 4.

( y = mx + b )

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The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
Evgen [1.6K]

Answer:

(1,1) x=1 y=1

Step-by-step explanation:

6 0
2 years ago
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
WINSTONCH [101]
Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a

We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2 
A = 112 cm²

112 cm²  * 6 triangles = 672 cm²
4 0
4 years ago
Read 2 more answers
Help me please...........
notka56 [123]
The answer is D. If you need to show your work just cross multiply the bottom two fractions. Once you get that answer, multiply
3/8 and 15/8.
7 0
4 years ago
This table represents a quadratic function with a vertex at (1, 1). What is the
erastova [34]

The average rate of change on the interval (5, 6) is 9. So the correct option is D.

<h3>How to find the average rate of change on the interval?</h3>

Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).

This is just:

r = \frac{f(6) - f(5)}{6 - 5}

f(x) = a*x^2 + b*x + c

I we look at the table we see that:

f(1) = 1 = a + b + c

f(2) =2 =  4a + 2b + c

f(3) = 5 = 9a + 3b + c

This is a system of equations.

If we subtract the second and first functions, we get:

2 - 1 = (4a + 2b +c) - (a + b + c)\\1 = 3a + b = a + b + c

From that we take two relations:

1 - 3a = b\\2a = c

Now we can replace these two in the last equations so we get:

5 = 9a + 3b + c\\\\5 = 9a + 3*(1 - 3a) + 2a\\\\5 = 9a + 3 - 9a + 2a\\\\5 = 3 + 2a\\\\5 - 3 = 2a\\\\2 = 2a\\\\a = 1

Now that we know the value of a:

c = 2a = 2*1 = 2\\\\b = 1 - 3a = 1 - 3 = -2

The quadratic equation is:

f(x) = x^2 - 2x + 2

Evaluating this in x = 6 we get:

f(6) = 6^2  - 2*6 + 2 = 26

And from the table we know that f(5) = 17, then the average rate of change is:

r = \frac{f(6) - f(5)}{6 - 5} = \frac{26-17}{1} = 9

The correct option is D.

If you want to learn more about average rates of change:

brainly.com/question/8728504

#SPJ1

4 0
2 years ago
HELP! can someone help me with 2,3,and 4?
sleet_krkn [62]

Linear functions are those whose graph is a straight line!

4 0
3 years ago
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