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stich3 [128]
3 years ago
5

Which equation represents the graph

Mathematics
1 answer:
Sindrei [870]3 years ago
7 0

Answer:

y= 3|x|+5

Step-by-step explanation:

Remember the graph for |x| is shown on the attached picture

Since the picture you show tell us that y=5 when x=0

we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point

we can use the equation for slopes using points 1 (0,5) and 2 (1,8)

thus we have that a=\frac{8-5}{1-0}=3

So the answer is y= 3|x|+5

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The graph of f(x)= x^2
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Answer:

the new equation is f(x)=x^2-4  

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

5 0
3 years ago
The triangle below what is the sine of 60°
suter [353]

Answer:

A

Step-by-step explanation:

sin(60) can be simplified into sqrt(3)/2.

3 0
3 years ago
The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function.
zhenek [66]

Answer:

g(x) has an axis of symmetry at x = 3.

g(x) is shifted right 3 units from the graph of f(x)

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The parent function is:

f(x)=x^2

The transformed function is g(x)=-x^2+6x-5.

This new function can be rewritten in the vertex form as:

g(x)=-(x-3)^2+4

This function is obtained by shifting the parent function 3 units right and 4 units up.

The axis of symmetry is x=3;(x=h) and h=3.

There is no horizontal stretch or compression.

The new function is however reflected in the x-axis

8 0
4 years ago
Read 2 more answers
A salt march harvest mouse ran a 360 cm straight course race in 9 seconds. How fast did it learn
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We need to find the rate or speed of mouse  

We know the speed formula is distance covered by given time.  

Speed=\frac{Distance}{Time}  

Where,  

Distance = 360 cm  

Time = 9 seconds  

\therefore   speed =\frac{360}{9}

Speed=40 cm/s  

Mouse ran with speed 40 cm/s


6 0
3 years ago
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In ΔABC, m∠A = 40°, m∠B = 60°. Find m∠C.
lana [24]
<span>m∠A = 40°
m∠B = 60°
m∠C = ?
There are 180 degrees in a triangle (not right) so you subtract both numbers by 180.
180degrees - 40 degrees - 60 degrees = 80 degrees</span>
4 0
4 years ago
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