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nalin [4]
3 years ago
11

The graphs below have the same shape. What is the equation of the blue graph?​

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
<h3>Answer: Choice C.  g(x) = (x-4)^2</h3>

================================================================

Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

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What is the gradient of the graph shown?<br> Give your answer in its simplest form.
AlekseyPX

Answer:

m = —1/3

Step-by-step explanation:

There are two clear points shown on the graph

point 1: (0;3)

point 2: (6;1)

m =  \frac{y2 - y1}{x2 - x1}

m =  \frac{1 - 3}{6 - 0}

m =  - \frac{2}{6}

m =  -  \frac{1}{3}

5 0
2 years ago
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2 Examine the graph shown below. 1 2 1 3 2 Enter the slope of the line.​
exis [7]

Answer:

4/5 or 0.8

Step-by-step explanation:

6 0
3 years ago
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Find the circumference of the figure.
shtirl [24]

Answer:

About 23.9 in

Step-by-step explanation:

We are given ;

a circle whose radius is 3.8 inches

we are required to determine the circumference

The circumference is given by the formula;

=2πr

Therefore;

Circumference = 2×3.14×3.8 in

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4 0
3 years ago
PLEASE ANSWER THIS ASAP GOD LOVES YOU
MaRussiya [10]

Answer:

The area of the cross section would be 160in squared

Step-by-step explanation:

They are asking for the area of the cross section, the rectangle that is splitting the prism in half. Area=heightxwidth. So, you would just multiply 10x16 to get your answer, which would be 160.

5 0
3 years ago
What is the value of s in the equation 3r = 10 + 5s, when r = 10?
kupik [55]
S = 4

3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 5s
20 = 5s
20 ÷ 5 = s
4 = s
4 0
3 years ago
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